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Finding the Fourth Proportional to 82,277.43, 123,460.80 and 34,919.16

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Solution

The fourth proportional to 82,277.43, 123,460.80 and 34,919.16 is: 52,397.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,277.43 : 123,460.80 = 34,919.16 : x
  2. Step 2: Convert to fraction form
    82,277.43/123,460.80 = 34,919.16/x
  3. Step 3: Cross multiply
    82,277.43x = 123,460.80 × 34,919.16
  4. Step 4: Simplify right side
    82,277.43x = 4,311,147,428.93
  5. Step 5: Solve for x
    x = 4,311,147,428.93/82,277.43
  6. Step 6: Final answer
    x = 52,397.69

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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.