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Finding the Fourth Proportional to 40,842.60, 61,265.46 and 12,765.24

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Solution

The fourth proportional to 40,842.60, 61,265.46 and 12,765.24 is: 19,148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,842.60 : 61,265.46 = 12,765.24 : x
  2. Step 2: Convert to fraction form
    40,842.60/61,265.46 = 12,765.24/x
  3. Step 3: Cross multiply
    40,842.60x = 61,265.46 × 12,765.24
  4. Step 4: Simplify right side
    40,842.60x = 782,068,300.61
  5. Step 5: Solve for x
    x = 782,068,300.61/40,842.60
  6. Step 6: Final answer
    x = 19,148.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.