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Finding the Fourth Proportional to 38,105.53, 57,141.74 and 20,332.22

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Solution

The fourth proportional to 38,105.53, 57,141.74 and 20,332.22 is: 30,489.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,105.53 : 57,141.74 = 20,332.22 : x
  2. Step 2: Convert to fraction form
    38,105.53/57,141.74 = 20,332.22/x
  3. Step 3: Cross multiply
    38,105.53x = 57,141.74 × 20,332.22
  4. Step 4: Simplify right side
    38,105.53x = 1,161,818,585.23
  5. Step 5: Solve for x
    x = 1,161,818,585.23/38,105.53
  6. Step 6: Final answer
    x = 30,489.50

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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.