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Finding the Fourth Proportional to 82,110.78, 113,312.97 and 44,385

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Solution

The fourth proportional to 82,110.78, 113,312.97 and 44,385 is: 61,251.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,110.78 : 113,312.97 = 44,385 : x
  2. Step 2: Convert to fraction form
    82,110.78/113,312.97 = 44,385/x
  3. Step 3: Cross multiply
    82,110.78x = 113,312.97 × 44,385
  4. Step 4: Simplify right side
    82,110.78x = 5,029,396,173.45
  5. Step 5: Solve for x
    x = 5,029,396,173.45/82,110.78
  6. Step 6: Final answer
    x = 61,251.35

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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.