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Finding the Fourth Proportional to 55,853.94, 83,787.06 and 16,414.13

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Solution

The fourth proportional to 55,853.94, 83,787.06 and 16,414.13 is: 24,622.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,853.94 : 83,787.06 = 16,414.13 : x
  2. Step 2: Convert to fraction form
    55,853.94/83,787.06 = 16,414.13/x
  3. Step 3: Cross multiply
    55,853.94x = 83,787.06 × 16,414.13
  4. Step 4: Simplify right side
    55,853.94x = 1,375,291,276.22
  5. Step 5: Solve for x
    x = 1,375,291,276.22/55,853.94
  6. Step 6: Final answer
    x = 24,622.99

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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.