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Finding the Fourth Proportional to 75,267.70, 112,862.67 and 37,787.38

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Solution

The fourth proportional to 75,267.70, 112,862.67 and 37,787.38 is: 56,661.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,267.70 : 112,862.67 = 37,787.38 : x
  2. Step 2: Convert to fraction form
    75,267.70/112,862.67 = 37,787.38/x
  3. Step 3: Cross multiply
    75,267.70x = 112,862.67 × 37,787.38
  4. Step 4: Simplify right side
    75,267.70x = 4,264,784,599.10
  5. Step 5: Solve for x
    x = 4,264,784,599.10/75,267.70
  6. Step 6: Final answer
    x = 56,661.55

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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.