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Finding the Fourth Proportional to 82,282.64, 113,549.82 and 44,556.88

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Solution

The fourth proportional to 82,282.64, 113,549.82 and 44,556.88 is: 61,488.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,282.64 : 113,549.82 = 44,556.88 : x
  2. Step 2: Convert to fraction form
    82,282.64/113,549.82 = 44,556.88/x
  3. Step 3: Cross multiply
    82,282.64x = 113,549.82 × 44,556.88
  4. Step 4: Simplify right side
    82,282.64x = 5,059,425,703.76
  5. Step 5: Solve for x
    x = 5,059,425,703.76/82,282.64
  6. Step 6: Final answer
    x = 61,488.37

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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.