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Finding the Fourth Proportional to 56,084.38, 77,401.91 and 30,933.88

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Solution

The fourth proportional to 56,084.38, 77,401.91 and 30,933.88 is: 42,691.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,084.38 : 77,401.91 = 30,933.88 : x
  2. Step 2: Convert to fraction form
    56,084.38/77,401.91 = 30,933.88/x
  3. Step 3: Cross multiply
    56,084.38x = 77,401.91 × 30,933.88
  4. Step 4: Simplify right side
    56,084.38x = 2,394,341,395.71
  5. Step 5: Solve for x
    x = 2,394,341,395.71/56,084.38
  6. Step 6: Final answer
    x = 42,691.77

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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.