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Finding the Fourth Proportional to 56,142.87, 84,240.61 and 24,548.87

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Solution

The fourth proportional to 56,142.87, 84,240.61 and 24,548.87 is: 36,834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,142.87 : 84,240.61 = 24,548.87 : x
  2. Step 2: Convert to fraction form
    56,142.87/84,240.61 = 24,548.87/x
  3. Step 3: Cross multiply
    56,142.87x = 84,240.61 × 24,548.87
  4. Step 4: Simplify right side
    56,142.87x = 2,068,011,932.84
  5. Step 5: Solve for x
    x = 2,068,011,932.84/56,142.87
  6. Step 6: Final answer
    x = 36,834.81

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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.