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Finding the Fourth Proportional to 47,765.60, 71,539.13 and 22,823.18

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Solution

The fourth proportional to 47,765.60, 71,539.13 and 22,823.18 is: 34,182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,765.60 : 71,539.13 = 22,823.18 : x
  2. Step 2: Convert to fraction form
    47,765.60/71,539.13 = 22,823.18/x
  3. Step 3: Cross multiply
    47,765.60x = 71,539.13 × 22,823.18
  4. Step 4: Simplify right side
    47,765.60x = 1,632,750,441.03
  5. Step 5: Solve for x
    x = 1,632,750,441.03/47,765.60
  6. Step 6: Final answer
    x = 34,182.56

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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.