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Finding the Fourth Proportional to 104,651.43, 157,019.14 and 38,096.16

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Solution

The fourth proportional to 104,651.43, 157,019.14 and 38,096.16 is: 57,159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,651.43 : 157,019.14 = 38,096.16 : x
  2. Step 2: Convert to fraction form
    104,651.43/157,019.14 = 38,096.16/x
  3. Step 3: Cross multiply
    104,651.43x = 157,019.14 × 38,096.16
  4. Step 4: Simplify right side
    104,651.43x = 5,981,826,280.50
  5. Step 5: Solve for x
    x = 5,981,826,280.50/104,651.43
  6. Step 6: Final answer
    x = 57,159.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.