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Finding the Fourth Proportional to 101,344.28, 152,004.90 and 31,217.72

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Solution

The fourth proportional to 101,344.28, 152,004.90 and 31,217.72 is: 46,823.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,344.28 : 152,004.90 = 31,217.72 : x
  2. Step 2: Convert to fraction form
    101,344.28/152,004.90 = 31,217.72/x
  3. Step 3: Cross multiply
    101,344.28x = 152,004.90 × 31,217.72
  4. Step 4: Simplify right side
    101,344.28x = 4,745,246,406.83
  5. Step 5: Solve for x
    x = 4,745,246,406.83/101,344.28
  6. Step 6: Final answer
    x = 46,823.03

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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.