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Finding the Fourth Proportional to 47,952,145.40, 71,880,978.90 and 23,694,816.20

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Solution

The fourth proportional to 47,952,145.40, 71,880,978.90 and 23,694,816.20 is: 35,518,881.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,952,145.40 : 71,880,978.90 = 23,694,816.20 : x
  2. Step 2: Convert to fraction form
    47,952,145.40/71,880,978.90 = 23,694,816.20/x
  3. Step 3: Cross multiply
    47,952,145.40x = 71,880,978.90 × 23,694,816.20
  4. Step 4: Simplify right side
    47,952,145.40x = 1,703,206,583,311,578.25
  5. Step 5: Solve for x
    x = 1,703,206,583,311,578.25/47,952,145.40
  6. Step 6: Final answer
    x = 35,518,881.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.