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Finding the Fourth Proportional to 84,566.80, 126,758.64 and 55,005.76

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Solution

The fourth proportional to 84,566.80, 126,758.64 and 55,005.76 is: 82,449.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,566.80 : 126,758.64 = 55,005.76 : x
  2. Step 2: Convert to fraction form
    84,566.80/126,758.64 = 55,005.76/x
  3. Step 3: Cross multiply
    84,566.80x = 126,758.64 × 55,005.76
  4. Step 4: Simplify right side
    84,566.80x = 6,972,455,329.77
  5. Step 5: Solve for x
    x = 6,972,455,329.77/84,566.80
  6. Step 6: Final answer
    x = 82,449.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.