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Finding the Fourth Proportional to 59,540, 82,165.20 and 33,044

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Solution

The fourth proportional to 59,540, 82,165.20 and 33,044 is: 45,600.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,540 : 82,165.20 = 33,044 : x
  2. Step 2: Convert to fraction form
    59,540/82,165.20 = 33,044/x
  3. Step 3: Cross multiply
    59,540x = 82,165.20 × 33,044
  4. Step 4: Simplify right side
    59,540x = 2,715,066,868.80
  5. Step 5: Solve for x
    x = 2,715,066,868.80/59,540
  6. Step 6: Final answer
    x = 45,600.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.