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Finding the Fourth Proportional to 91,862.48, 137,824.40 and 35,704.42

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Solution

The fourth proportional to 91,862.48, 137,824.40 and 35,704.42 is: 53,568.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,862.48 : 137,824.40 = 35,704.42 : x
  2. Step 2: Convert to fraction form
    91,862.48/137,824.40 = 35,704.42/x
  3. Step 3: Cross multiply
    91,862.48x = 137,824.40 × 35,704.42
  4. Step 4: Simplify right side
    91,862.48x = 4,920,940,263.85
  5. Step 5: Solve for x
    x = 4,920,940,263.85/91,862.48
  6. Step 6: Final answer
    x = 53,568.55

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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.