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Finding the Fourth Proportional to 71,743.60, 107,615.40 and 21,823.30

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Solution

The fourth proportional to 71,743.60, 107,615.40 and 21,823.30 is: 32,734.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,743.60 : 107,615.40 = 21,823.30 : x
  2. Step 2: Convert to fraction form
    71,743.60/107,615.40 = 21,823.30/x
  3. Step 3: Cross multiply
    71,743.60x = 107,615.40 × 21,823.30
  4. Step 4: Simplify right side
    71,743.60x = 2,348,523,158.82
  5. Step 5: Solve for x
    x = 2,348,523,158.82/71,743.60
  6. Step 6: Final answer
    x = 32,734.95

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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.