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Finding the Fourth Proportional to 82,497.44, 123,754.80 and 40,933.28

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Solution

The fourth proportional to 82,497.44, 123,754.80 and 40,933.28 is: 61,404.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,497.44 : 123,754.80 = 40,933.28 : x
  2. Step 2: Convert to fraction form
    82,497.44/123,754.80 = 40,933.28/x
  3. Step 3: Cross multiply
    82,497.44x = 123,754.80 × 40,933.28
  4. Step 4: Simplify right side
    82,497.44x = 5,065,689,879.74
  5. Step 5: Solve for x
    x = 5,065,689,879.74/82,497.44
  6. Step 6: Final answer
    x = 61,404.21

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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.