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Finding the Fourth Proportional to 125,376.63, 188,066.16 and 31,882.38

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Solution

The fourth proportional to 125,376.63, 188,066.16 and 31,882.38 is: 47,823.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,376.63 : 188,066.16 = 31,882.38 : x
  2. Step 2: Convert to fraction form
    125,376.63/188,066.16 = 31,882.38/x
  3. Step 3: Cross multiply
    125,376.63x = 188,066.16 × 31,882.38
  4. Step 4: Simplify right side
    125,376.63x = 5,995,996,778.26
  5. Step 5: Solve for x
    x = 5,995,996,778.26/125,376.63
  6. Step 6: Final answer
    x = 47,823.88

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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.