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Finding the Fourth Proportional to 47,712.52, 71,568.78 and 14,880.52

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Solution

The fourth proportional to 47,712.52, 71,568.78 and 14,880.52 is: 22,320.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,712.52 : 71,568.78 = 14,880.52 : x
  2. Step 2: Convert to fraction form
    47,712.52/71,568.78 = 14,880.52/x
  3. Step 3: Cross multiply
    47,712.52x = 71,568.78 × 14,880.52
  4. Step 4: Simplify right side
    47,712.52x = 1,064,980,662.17
  5. Step 5: Solve for x
    x = 1,064,980,662.17/47,712.52
  6. Step 6: Final answer
    x = 22,320.78

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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.