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Finding the Fourth Proportional to 85,113.24, 127,728.18 and 29,709.24

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Solution

The fourth proportional to 85,113.24, 127,728.18 and 29,709.24 is: 44,584.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,113.24 : 127,728.18 = 29,709.24 : x
  2. Step 2: Convert to fraction form
    85,113.24/127,728.18 = 29,709.24/x
  3. Step 3: Cross multiply
    85,113.24x = 127,728.18 × 29,709.24
  4. Step 4: Simplify right side
    85,113.24x = 3,794,707,154.38
  5. Step 5: Solve for x
    x = 3,794,707,154.38/85,113.24
  6. Step 6: Final answer
    x = 44,584.22

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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.