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Finding the Fourth Proportional to 41,146.52, 61,719.78 and 9,981.50

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Solution

The fourth proportional to 41,146.52, 61,719.78 and 9,981.50 is: 14,972.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,146.52 : 61,719.78 = 9,981.50 : x
  2. Step 2: Convert to fraction form
    41,146.52/61,719.78 = 9,981.50/x
  3. Step 3: Cross multiply
    41,146.52x = 61,719.78 × 9,981.50
  4. Step 4: Simplify right side
    41,146.52x = 616,055,984.07
  5. Step 5: Solve for x
    x = 616,055,984.07/41,146.52
  6. Step 6: Final answer
    x = 14,972.25

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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.