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Finding the Fourth Proportional to 51,842.56, 71,549.62 and 29,186

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Solution

The fourth proportional to 51,842.56, 71,549.62 and 29,186 is: 40,280.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,842.56 : 71,549.62 = 29,186 : x
  2. Step 2: Convert to fraction form
    51,842.56/71,549.62 = 29,186/x
  3. Step 3: Cross multiply
    51,842.56x = 71,549.62 × 29,186
  4. Step 4: Simplify right side
    51,842.56x = 2,088,247,209.32
  5. Step 5: Solve for x
    x = 2,088,247,209.32/51,842.56
  6. Step 6: Final answer
    x = 40,280.56

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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.