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Finding the Fourth Proportional to 107,721, 161,584.38 and 36,643.50

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Solution

The fourth proportional to 107,721, 161,584.38 and 36,643.50 is: 54,966.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,721 : 161,584.38 = 36,643.50 : x
  2. Step 2: Convert to fraction form
    107,721/161,584.38 = 36,643.50/x
  3. Step 3: Cross multiply
    107,721x = 161,584.38 × 36,643.50
  4. Step 4: Simplify right side
    107,721x = 5,921,017,228.53
  5. Step 5: Solve for x
    x = 5,921,017,228.53/107,721
  6. Step 6: Final answer
    x = 54,966.23

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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.