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Finding the Fourth Proportional to 38,726.84, 53,473.14 and 29,760.20

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Solution

The fourth proportional to 38,726.84, 53,473.14 and 29,760.20 is: 41,092.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,726.84 : 53,473.14 = 29,760.20 : x
  2. Step 2: Convert to fraction form
    38,726.84/53,473.14 = 29,760.20/x
  3. Step 3: Cross multiply
    38,726.84x = 53,473.14 × 29,760.20
  4. Step 4: Simplify right side
    38,726.84x = 1,591,371,341.03
  5. Step 5: Solve for x
    x = 1,591,371,341.03/38,726.84
  6. Step 6: Final answer
    x = 41,092.21

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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.