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Finding the Fourth Proportional to 82,708, 123,963.18 and 30,055.84

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Solution

The fourth proportional to 82,708, 123,963.18 and 30,055.84 is: 45,047.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,708 : 123,963.18 = 30,055.84 : x
  2. Step 2: Convert to fraction form
    82,708/123,963.18 = 30,055.84/x
  3. Step 3: Cross multiply
    82,708x = 123,963.18 × 30,055.84
  4. Step 4: Simplify right side
    82,708x = 3,725,817,503.97
  5. Step 5: Solve for x
    x = 3,725,817,503.97/82,708
  6. Step 6: Final answer
    x = 45,047.85

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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.