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Finding the Fourth Proportional to 109,782, 151,499.16 and 59,481

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Solution

The fourth proportional to 109,782, 151,499.16 and 59,481 is: 82,083.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,782 : 151,499.16 = 59,481 : x
  2. Step 2: Convert to fraction form
    109,782/151,499.16 = 59,481/x
  3. Step 3: Cross multiply
    109,782x = 151,499.16 × 59,481
  4. Step 4: Simplify right side
    109,782x = 9,011,321,535.96
  5. Step 5: Solve for x
    x = 9,011,321,535.96/109,782
  6. Step 6: Final answer
    x = 82,083.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.