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Finding the Fourth Proportional to 91,137.68, 136,707.52 and 31,974.80

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Solution

The fourth proportional to 91,137.68, 136,707.52 and 31,974.80 is: 47,962.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,137.68 : 136,707.52 = 31,974.80 : x
  2. Step 2: Convert to fraction form
    91,137.68/136,707.52 = 31,974.80/x
  3. Step 3: Cross multiply
    91,137.68x = 136,707.52 × 31,974.80
  4. Step 4: Simplify right side
    91,137.68x = 4,371,195,610.50
  5. Step 5: Solve for x
    x = 4,371,195,610.50/91,137.68
  6. Step 6: Final answer
    x = 47,962.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.