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Finding the Fourth Proportional to 38,141.97, 52,637.17 and 21,147.80

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Solution

The fourth proportional to 38,141.97, 52,637.17 and 21,147.80 is: 29,184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,141.97 : 52,637.17 = 21,147.80 : x
  2. Step 2: Convert to fraction form
    38,141.97/52,637.17 = 21,147.80/x
  3. Step 3: Cross multiply
    38,141.97x = 52,637.17 × 21,147.80
  4. Step 4: Simplify right side
    38,141.97x = 1,113,160,081.87
  5. Step 5: Solve for x
    x = 1,113,160,081.87/38,141.97
  6. Step 6: Final answer
    x = 29,184.65

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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.