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Finding the Fourth Proportional to 41,242.50, 61,864.29 and 10,077.75

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Solution

The fourth proportional to 41,242.50, 61,864.29 and 10,077.75 is: 15,116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,242.50 : 61,864.29 = 10,077.75 : x
  2. Step 2: Convert to fraction form
    41,242.50/61,864.29 = 10,077.75/x
  3. Step 3: Cross multiply
    41,242.50x = 61,864.29 × 10,077.75
  4. Step 4: Simplify right side
    41,242.50x = 623,452,848.55
  5. Step 5: Solve for x
    x = 623,452,848.55/41,242.50
  6. Step 6: Final answer
    x = 15,116.76

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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.