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Finding the Fourth Proportional to 38,299.50, 52,853.31 and 21,532.50

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Solution

The fourth proportional to 38,299.50, 52,853.31 and 21,532.50 is: 29,714.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,299.50 : 52,853.31 = 21,532.50 : x
  2. Step 2: Convert to fraction form
    38,299.50/52,853.31 = 21,532.50/x
  3. Step 3: Cross multiply
    38,299.50x = 52,853.31 × 21,532.50
  4. Step 4: Simplify right side
    38,299.50x = 1,138,063,897.58
  5. Step 5: Solve for x
    x = 1,138,063,897.58/38,299.50
  6. Step 6: Final answer
    x = 29,714.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.