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Finding the Fourth Proportional to 65,537.64, 90,149.76 and 57,431.16

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Solution

The fourth proportional to 65,537.64, 90,149.76 and 57,431.16 is: 78,998.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,537.64 : 90,149.76 = 57,431.16 : x
  2. Step 2: Convert to fraction form
    65,537.64/90,149.76 = 57,431.16/x
  3. Step 3: Cross multiply
    65,537.64x = 90,149.76 × 57,431.16
  4. Step 4: Simplify right side
    65,537.64x = 5,177,405,290.52
  5. Step 5: Solve for x
    x = 5,177,405,290.52/65,537.64
  6. Step 6: Final answer
    x = 78,998.96

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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.