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Finding the Fourth Proportional to 65,734.56, 90,789.12 and 47,909.16

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Solution

The fourth proportional to 65,734.56, 90,789.12 and 47,909.16 is: 66,169.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,734.56 : 90,789.12 = 47,909.16 : x
  2. Step 2: Convert to fraction form
    65,734.56/90,789.12 = 47,909.16/x
  3. Step 3: Cross multiply
    65,734.56x = 90,789.12 × 47,909.16
  4. Step 4: Simplify right side
    65,734.56x = 4,349,630,476.34
  5. Step 5: Solve for x
    x = 4,349,630,476.34/65,734.56
  6. Step 6: Final answer
    x = 66,169.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.