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Finding the Fourth Proportional to 65,431.72, 90,293.50 and 39,980.69

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Solution

The fourth proportional to 65,431.72, 90,293.50 and 39,980.69 is: 55,171.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,431.72 : 90,293.50 = 39,980.69 : x
  2. Step 2: Convert to fraction form
    65,431.72/90,293.50 = 39,980.69/x
  3. Step 3: Cross multiply
    65,431.72x = 90,293.50 × 39,980.69
  4. Step 4: Simplify right side
    65,431.72x = 3,609,996,432.52
  5. Step 5: Solve for x
    x = 3,609,996,432.52/65,431.72
  6. Step 6: Final answer
    x = 55,171.96

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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.