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Finding the Fourth Proportional to 70,614.90, 105,826.23 and 35,578.62

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Solution

The fourth proportional to 70,614.90, 105,826.23 and 35,578.62 is: 53,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,614.90 : 105,826.23 = 35,578.62 : x
  2. Step 2: Convert to fraction form
    70,614.90/105,826.23 = 35,578.62/x
  3. Step 3: Cross multiply
    70,614.90x = 105,826.23 × 35,578.62
  4. Step 4: Simplify right side
    70,614.90x = 3,765,151,223.20
  5. Step 5: Solve for x
    x = 3,765,151,223.20/70,614.90
  6. Step 6: Final answer
    x = 53,319.50

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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.