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Finding the Fourth Proportional to 32,119.16, 48,227.70 and 30,535.16

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Solution

The fourth proportional to 32,119.16, 48,227.70 and 30,535.16 is: 45,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,119.16 : 48,227.70 = 30,535.16 : x
  2. Step 2: Convert to fraction form
    32,119.16/48,227.70 = 30,535.16/x
  3. Step 3: Cross multiply
    32,119.16x = 48,227.70 × 30,535.16
  4. Step 4: Simplify right side
    32,119.16x = 1,472,640,535.93
  5. Step 5: Solve for x
    x = 1,472,640,535.93/32,119.16
  6. Step 6: Final answer
    x = 45,849.29

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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.