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Finding the Fourth Proportional to 117,882.24, 176,869.44 and 44,016

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Solution

The fourth proportional to 117,882.24, 176,869.44 and 44,016 is: 66,041.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,882.24 : 176,869.44 = 44,016 : x
  2. Step 2: Convert to fraction form
    117,882.24/176,869.44 = 44,016/x
  3. Step 3: Cross multiply
    117,882.24x = 176,869.44 × 44,016
  4. Step 4: Simplify right side
    117,882.24x = 7,785,085,271.04
  5. Step 5: Solve for x
    x = 7,785,085,271.04/117,882.24
  6. Step 6: Final answer
    x = 66,041.21

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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.