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Finding the Fourth Proportional to 100,527.91, 150,562.13 and 47,974.30

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Solution

The fourth proportional to 100,527.91, 150,562.13 and 47,974.30 is: 71,851.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,527.91 : 150,562.13 = 47,974.30 : x
  2. Step 2: Convert to fraction form
    100,527.91/150,562.13 = 47,974.30/x
  3. Step 3: Cross multiply
    100,527.91x = 150,562.13 × 47,974.30
  4. Step 4: Simplify right side
    100,527.91x = 7,223,113,289.60
  5. Step 5: Solve for x
    x = 7,223,113,289.60/100,527.91
  6. Step 6: Final answer
    x = 71,851.82

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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.