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Finding the Fourth Proportional to 38,275.50, 52,819.11 and 21,508.86

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Solution

The fourth proportional to 38,275.50, 52,819.11 and 21,508.86 is: 29,681.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,275.50 : 52,819.11 = 21,508.86 : x
  2. Step 2: Convert to fraction form
    38,275.50/52,819.11 = 21,508.86/x
  3. Step 3: Cross multiply
    38,275.50x = 52,819.11 × 21,508.86
  4. Step 4: Simplify right side
    38,275.50x = 1,136,078,842.31
  5. Step 5: Solve for x
    x = 1,136,078,842.31/38,275.50
  6. Step 6: Final answer
    x = 29,681.62

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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.