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Finding the Fourth Proportional to 82,616.80, 114,010.32 and 44,891.20

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Solution

The fourth proportional to 82,616.80, 114,010.32 and 44,891.20 is: 61,949.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,616.80 : 114,010.32 = 44,891.20 : x
  2. Step 2: Convert to fraction form
    82,616.80/114,010.32 = 44,891.20/x
  3. Step 3: Cross multiply
    82,616.80x = 114,010.32 × 44,891.20
  4. Step 4: Simplify right side
    82,616.80x = 5,118,060,077.18
  5. Step 5: Solve for x
    x = 5,118,060,077.18/82,616.80
  6. Step 6: Final answer
    x = 61,949.39

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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.