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Finding the Fourth Proportional to 38,296.50, 52,849.17 and 21,529.62

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Solution

The fourth proportional to 38,296.50, 52,849.17 and 21,529.62 is: 29,710.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,296.50 : 52,849.17 = 21,529.62 : x
  2. Step 2: Convert to fraction form
    38,296.50/52,849.17 = 21,529.62/x
  3. Step 3: Cross multiply
    38,296.50x = 52,849.17 × 21,529.62
  4. Step 4: Simplify right side
    38,296.50x = 1,137,822,547.42
  5. Step 5: Solve for x
    x = 1,137,822,547.42/38,296.50
  6. Step 6: Final answer
    x = 29,710.88

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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.