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Finding the Fourth Proportional to 61,787.78, 92,599.66 and 32,197.68

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Solution

The fourth proportional to 61,787.78, 92,599.66 and 32,197.68 is: 48,253.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,787.78 : 92,599.66 = 32,197.68 : x
  2. Step 2: Convert to fraction form
    61,787.78/92,599.66 = 32,197.68/x
  3. Step 3: Cross multiply
    61,787.78x = 92,599.66 × 32,197.68
  4. Step 4: Simplify right side
    61,787.78x = 2,981,494,220.79
  5. Step 5: Solve for x
    x = 2,981,494,220.79/61,787.78
  6. Step 6: Final answer
    x = 48,253.78

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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.