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Finding the Fourth Proportional to 82,138.95, 123,220.50 and 25,966.31

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Solution

The fourth proportional to 82,138.95, 123,220.50 and 25,966.31 is: 38,953.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,138.95 : 123,220.50 = 25,966.31 : x
  2. Step 2: Convert to fraction form
    82,138.95/123,220.50 = 25,966.31/x
  3. Step 3: Cross multiply
    82,138.95x = 123,220.50 × 25,966.31
  4. Step 4: Simplify right side
    82,138.95x = 3,199,581,701.36
  5. Step 5: Solve for x
    x = 3,199,581,701.36/82,138.95
  6. Step 6: Final answer
    x = 38,953.28

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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.