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Finding the Fourth Proportional to 85,494.75, 117,982.80 and 47,769

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Solution

The fourth proportional to 85,494.75, 117,982.80 and 47,769 is: 65,921.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,494.75 : 117,982.80 = 47,769 : x
  2. Step 2: Convert to fraction form
    85,494.75/117,982.80 = 47,769/x
  3. Step 3: Cross multiply
    85,494.75x = 117,982.80 × 47,769
  4. Step 4: Simplify right side
    85,494.75x = 5,635,920,373.20
  5. Step 5: Solve for x
    x = 5,635,920,373.20/85,494.75
  6. Step 6: Final answer
    x = 65,921.25

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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.