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Finding the Fourth Proportional to 65,084.66, 89,817.48 and 38,235.80

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Solution

The fourth proportional to 65,084.66, 89,817.48 and 38,235.80 is: 52,765.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,084.66 : 89,817.48 = 38,235.80 : x
  2. Step 2: Convert to fraction form
    65,084.66/89,817.48 = 38,235.80/x
  3. Step 3: Cross multiply
    65,084.66x = 89,817.48 × 38,235.80
  4. Step 4: Simplify right side
    65,084.66x = 3,434,243,201.78
  5. Step 5: Solve for x
    x = 3,434,243,201.78/65,084.66
  6. Step 6: Final answer
    x = 52,765.79

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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.