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Finding the Fourth Proportional to 52,011.52, 77,864.96 and 32,230.40

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Solution

The fourth proportional to 52,011.52, 77,864.96 and 32,230.40 is: 48,251.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,011.52 : 77,864.96 = 32,230.40 : x
  2. Step 2: Convert to fraction form
    52,011.52/77,864.96 = 32,230.40/x
  3. Step 3: Cross multiply
    52,011.52x = 77,864.96 × 32,230.40
  4. Step 4: Simplify right side
    52,011.52x = 2,509,618,806.78
  5. Step 5: Solve for x
    x = 2,509,618,806.78/52,011.52
  6. Step 6: Final answer
    x = 48,251.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.