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Finding the Fourth Proportional to 81,841.17, 122,766.95 and 25,683.50

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Solution

The fourth proportional to 81,841.17, 122,766.95 and 25,683.50 is: 38,526.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,841.17 : 122,766.95 = 25,683.50 : x
  2. Step 2: Convert to fraction form
    81,841.17/122,766.95 = 25,683.50/x
  3. Step 3: Cross multiply
    81,841.17x = 122,766.95 × 25,683.50
  4. Step 4: Simplify right side
    81,841.17x = 3,153,084,218.07
  5. Step 5: Solve for x
    x = 3,153,084,218.07/81,841.17
  6. Step 6: Final answer
    x = 38,526.87

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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.