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Finding the Fourth Proportional to 31,452.60, 47,124.60 and 22,074.76

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Solution

The fourth proportional to 31,452.60, 47,124.60 and 22,074.76 is: 33,074.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,452.60 : 47,124.60 = 22,074.76 : x
  2. Step 2: Convert to fraction form
    31,452.60/47,124.60 = 22,074.76/x
  3. Step 3: Cross multiply
    31,452.60x = 47,124.60 × 22,074.76
  4. Step 4: Simplify right side
    31,452.60x = 1,040,264,235.10
  5. Step 5: Solve for x
    x = 1,040,264,235.10/31,452.60
  6. Step 6: Final answer
    x = 33,074.03

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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.