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Finding the Fourth Proportional to 40,771.97, 61,146.88 and 11,182.80

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Solution

The fourth proportional to 40,771.97, 61,146.88 and 11,182.80 is: 16,771.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,771.97 : 61,146.88 = 11,182.80 : x
  2. Step 2: Convert to fraction form
    40,771.97/61,146.88 = 11,182.80/x
  3. Step 3: Cross multiply
    40,771.97x = 61,146.88 × 11,182.80
  4. Step 4: Simplify right side
    40,771.97x = 683,793,301.71
  5. Step 5: Solve for x
    x = 683,793,301.71/40,771.97
  6. Step 6: Final answer
    x = 16,771.16

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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.