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Finding the Fourth Proportional to 31,129.32, 42,957.54 and 17,702.04

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Solution

The fourth proportional to 31,129.32, 42,957.54 and 17,702.04 is: 24,428.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,129.32 : 42,957.54 = 17,702.04 : x
  2. Step 2: Convert to fraction form
    31,129.32/42,957.54 = 17,702.04/x
  3. Step 3: Cross multiply
    31,129.32x = 42,957.54 × 17,702.04
  4. Step 4: Simplify right side
    31,129.32x = 760,436,091.38
  5. Step 5: Solve for x
    x = 760,436,091.38/31,129.32
  6. Step 6: Final answer
    x = 24,428.29

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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.