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Finding the Fourth Proportional to 38,098.76, 52,575.68 and 21,102.88

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Solution

The fourth proportional to 38,098.76, 52,575.68 and 21,102.88 is: 29,121.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,098.76 : 52,575.68 = 21,102.88 : x
  2. Step 2: Convert to fraction form
    38,098.76/52,575.68 = 21,102.88/x
  3. Step 3: Cross multiply
    38,098.76x = 52,575.68 × 21,102.88
  4. Step 4: Simplify right side
    38,098.76x = 1,109,498,265.96
  5. Step 5: Solve for x
    x = 1,109,498,265.96/38,098.76
  6. Step 6: Final answer
    x = 29,121.64

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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.