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Finding the Fourth Proportional to 31,523.92, 43,502.88 and 17,377

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Solution

The fourth proportional to 31,523.92, 43,502.88 and 17,377 is: 23,980.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,523.92 : 43,502.88 = 17,377 : x
  2. Step 2: Convert to fraction form
    31,523.92/43,502.88 = 17,377/x
  3. Step 3: Cross multiply
    31,523.92x = 43,502.88 × 17,377
  4. Step 4: Simplify right side
    31,523.92x = 755,949,545.76
  5. Step 5: Solve for x
    x = 755,949,545.76/31,523.92
  6. Step 6: Final answer
    x = 23,980.19

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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.