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Finding the Fourth Proportional to 55,854.32, 83,787.63 and 16,414.50

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Solution

The fourth proportional to 55,854.32, 83,787.63 and 16,414.50 is: 24,623.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,854.32 : 83,787.63 = 16,414.50 : x
  2. Step 2: Convert to fraction form
    55,854.32/83,787.63 = 16,414.50/x
  3. Step 3: Cross multiply
    55,854.32x = 83,787.63 × 16,414.50
  4. Step 4: Simplify right side
    55,854.32x = 1,375,332,052.64
  5. Step 5: Solve for x
    x = 1,375,332,052.64/55,854.32
  6. Step 6: Final answer
    x = 24,623.56

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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.