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Finding the Fourth Proportional to 82,077.78, 113,267.16 and 44,352

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Solution

The fourth proportional to 82,077.78, 113,267.16 and 44,352 is: 61,205.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,077.78 : 113,267.16 = 44,352 : x
  2. Step 2: Convert to fraction form
    82,077.78/113,267.16 = 44,352/x
  3. Step 3: Cross multiply
    82,077.78x = 113,267.16 × 44,352
  4. Step 4: Simplify right side
    82,077.78x = 5,023,625,080.32
  5. Step 5: Solve for x
    x = 5,023,625,080.32/82,077.78
  6. Step 6: Final answer
    x = 61,205.66

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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.