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Finding the Fourth Proportional to 82,126.08, 113,363.04 and 48,592

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Solution

The fourth proportional to 82,126.08, 113,363.04 and 48,592 is: 67,074.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,126.08 : 113,363.04 = 48,592 : x
  2. Step 2: Convert to fraction form
    82,126.08/113,363.04 = 48,592/x
  3. Step 3: Cross multiply
    82,126.08x = 113,363.04 × 48,592
  4. Step 4: Simplify right side
    82,126.08x = 5,508,536,839.68
  5. Step 5: Solve for x
    x = 5,508,536,839.68/82,126.08
  6. Step 6: Final answer
    x = 67,074.15

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Why These Related Problems?

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