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Finding the Fourth Proportional to 55,617.14, 83,425 and 13,497.57

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Solution

The fourth proportional to 55,617.14, 83,425 and 13,497.57 is: 20,246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,617.14 : 83,425 = 13,497.57 : x
  2. Step 2: Convert to fraction form
    55,617.14/83,425 = 13,497.57/x
  3. Step 3: Cross multiply
    55,617.14x = 83,425 × 13,497.57
  4. Step 4: Simplify right side
    55,617.14x = 1,126,034,777.25
  5. Step 5: Solve for x
    x = 1,126,034,777.25/55,617.14
  6. Step 6: Final answer
    x = 20,246.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.