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Finding the Fourth Proportional to 57,016.38, 78,689.22 and 47,439.32

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Solution

The fourth proportional to 57,016.38, 78,689.22 and 47,439.32 is: 65,471.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,016.38 : 78,689.22 = 47,439.32 : x
  2. Step 2: Convert to fraction form
    57,016.38/78,689.22 = 47,439.32/x
  3. Step 3: Cross multiply
    57,016.38x = 78,689.22 × 47,439.32
  4. Step 4: Simplify right side
    57,016.38x = 3,732,963,088.13
  5. Step 5: Solve for x
    x = 3,732,963,088.13/57,016.38
  6. Step 6: Final answer
    x = 65,471.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.