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Finding the Fourth Proportional to 44,478, 61,379.64 and 27,711

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Solution

The fourth proportional to 44,478, 61,379.64 and 27,711 is: 38,241.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,478 : 61,379.64 = 27,711 : x
  2. Step 2: Convert to fraction form
    44,478/61,379.64 = 27,711/x
  3. Step 3: Cross multiply
    44,478x = 61,379.64 × 27,711
  4. Step 4: Simplify right side
    44,478x = 1,700,891,204.04
  5. Step 5: Solve for x
    x = 1,700,891,204.04/44,478
  6. Step 6: Final answer
    x = 38,241.18

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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.