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Finding the Fourth Proportional to 31,812.40, 47,718.60 and 22,432.60

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Solution

The fourth proportional to 31,812.40, 47,718.60 and 22,432.60 is: 33,648.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,812.40 : 47,718.60 = 22,432.60 : x
  2. Step 2: Convert to fraction form
    31,812.40/47,718.60 = 22,432.60/x
  3. Step 3: Cross multiply
    31,812.40x = 47,718.60 × 22,432.60
  4. Step 4: Simplify right side
    31,812.40x = 1,070,452,266.36
  5. Step 5: Solve for x
    x = 1,070,452,266.36/31,812.40
  6. Step 6: Final answer
    x = 33,648.90

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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.