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Finding the Fourth Proportional to 51,489.47, 77,363.61 and 32,777.87

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Solution

The fourth proportional to 51,489.47, 77,363.61 and 32,777.87 is: 49,249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,489.47 : 77,363.61 = 32,777.87 : x
  2. Step 2: Convert to fraction form
    51,489.47/77,363.61 = 32,777.87/x
  3. Step 3: Cross multiply
    51,489.47x = 77,363.61 × 32,777.87
  4. Step 4: Simplify right side
    51,489.47x = 2,535,813,841.58
  5. Step 5: Solve for x
    x = 2,535,813,841.58/51,489.47
  6. Step 6: Final answer
    x = 49,249.17

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Why These Related Problems?

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