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Finding the Fourth Proportional to 31,691.40, 47,537.10 and 31,230.60

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Solution

The fourth proportional to 31,691.40, 47,537.10 and 31,230.60 is: 46,845.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,691.40 : 47,537.10 = 31,230.60 : x
  2. Step 2: Convert to fraction form
    31,691.40/47,537.10 = 31,230.60/x
  3. Step 3: Cross multiply
    31,691.40x = 47,537.10 × 31,230.60
  4. Step 4: Simplify right side
    31,691.40x = 1,484,612,155.26
  5. Step 5: Solve for x
    x = 1,484,612,155.26/31,691.40
  6. Step 6: Final answer
    x = 46,845.90

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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.