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Finding the Fourth Proportional to 82,620.57, 123,978.78 and 35,233.14

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Solution

The fourth proportional to 82,620.57, 123,978.78 and 35,233.14 is: 52,870.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,620.57 : 123,978.78 = 35,233.14 : x
  2. Step 2: Convert to fraction form
    82,620.57/123,978.78 = 35,233.14/x
  3. Step 3: Cross multiply
    82,620.57x = 123,978.78 × 35,233.14
  4. Step 4: Simplify right side
    82,620.57x = 4,368,161,712.77
  5. Step 5: Solve for x
    x = 4,368,161,712.77/82,620.57
  6. Step 6: Final answer
    x = 52,870.15

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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.