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Finding the Fourth Proportional to 38,713.73, 53,421.71 and 21,715.61

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Solution

The fourth proportional to 38,713.73, 53,421.71 and 21,715.61 is: 29,965.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,713.73 : 53,421.71 = 21,715.61 : x
  2. Step 2: Convert to fraction form
    38,713.73/53,421.71 = 21,715.61/x
  3. Step 3: Cross multiply
    38,713.73x = 53,421.71 × 21,715.61
  4. Step 4: Simplify right side
    38,713.73x = 1,160,084,644.21
  5. Step 5: Solve for x
    x = 1,160,084,644.21/38,713.73
  6. Step 6: Final answer
    x = 29,965.72

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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.