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Finding the Fourth Proportional to 82,536, 113,914.08 and 49,001.28

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Solution

The fourth proportional to 82,536, 113,914.08 and 49,001.28 is: 67,630.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,536 : 113,914.08 = 49,001.28 : x
  2. Step 2: Convert to fraction form
    82,536/113,914.08 = 49,001.28/x
  3. Step 3: Cross multiply
    82,536x = 113,914.08 × 49,001.28
  4. Step 4: Simplify right side
    82,536x = 5,581,935,730.02
  5. Step 5: Solve for x
    x = 5,581,935,730.02/82,536
  6. Step 6: Final answer
    x = 67,630.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.