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Finding the Fourth Proportional to 31,488.52, 47,225.22 and 9,295.90

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Solution

The fourth proportional to 31,488.52, 47,225.22 and 9,295.90 is: 13,941.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,488.52 : 47,225.22 = 9,295.90 : x
  2. Step 2: Convert to fraction form
    31,488.52/47,225.22 = 9,295.90/x
  3. Step 3: Cross multiply
    31,488.52x = 47,225.22 × 9,295.90
  4. Step 4: Simplify right side
    31,488.52x = 439,000,922.60
  5. Step 5: Solve for x
    x = 439,000,922.60/31,488.52
  6. Step 6: Final answer
    x = 13,941.62

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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.