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Finding the Fourth Proportional to 82,262.36, 123,377.94 and 40,100.07

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Solution

The fourth proportional to 82,262.36, 123,377.94 and 40,100.07 is: 60,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,262.36 : 123,377.94 = 40,100.07 : x
  2. Step 2: Convert to fraction form
    82,262.36/123,377.94 = 40,100.07/x
  3. Step 3: Cross multiply
    82,262.36x = 123,377.94 × 40,100.07
  4. Step 4: Simplify right side
    82,262.36x = 4,947,464,030.46
  5. Step 5: Solve for x
    x = 4,947,464,030.46/82,262.36
  6. Step 6: Final answer
    x = 60,142.50

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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.