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Finding the Fourth Proportional to 60,282.14, 83,186.25 and 33,424.38

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Solution

The fourth proportional to 60,282.14, 83,186.25 and 33,424.38 is: 46,123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,282.14 : 83,186.25 = 33,424.38 : x
  2. Step 2: Convert to fraction form
    60,282.14/83,186.25 = 33,424.38/x
  3. Step 3: Cross multiply
    60,282.14x = 83,186.25 × 33,424.38
  4. Step 4: Simplify right side
    60,282.14x = 2,780,448,830.78
  5. Step 5: Solve for x
    x = 2,780,448,830.78/60,282.14
  6. Step 6: Final answer
    x = 46,123.93

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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.