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Finding the Fourth Proportional to 41,143.50, 61,715.46 and 9,978.75

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Solution

The fourth proportional to 41,143.50, 61,715.46 and 9,978.75 is: 14,968.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,143.50 : 61,715.46 = 9,978.75 : x
  2. Step 2: Convert to fraction form
    41,143.50/61,715.46 = 9,978.75/x
  3. Step 3: Cross multiply
    41,143.50x = 61,715.46 × 9,978.75
  4. Step 4: Simplify right side
    41,143.50x = 615,843,146.48
  5. Step 5: Solve for x
    x = 615,843,146.48/41,143.50
  6. Step 6: Final answer
    x = 14,968.18

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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.