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Finding the Fourth Proportional to 76,737.80, 115,122.30 and 32,364.71

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Solution

The fourth proportional to 76,737.80, 115,122.30 and 32,364.71 is: 48,553.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,737.80 : 115,122.30 = 32,364.71 : x
  2. Step 2: Convert to fraction form
    76,737.80/115,122.30 = 32,364.71/x
  3. Step 3: Cross multiply
    76,737.80x = 115,122.30 × 32,364.71
  4. Step 4: Simplify right side
    76,737.80x = 3,725,899,278.42
  5. Step 5: Solve for x
    x = 3,725,899,278.42/76,737.80
  6. Step 6: Final answer
    x = 48,553.64

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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.