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Finding the Fourth Proportional to 27,878.46, 38,419.17 and 27,366.05

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Solution

The fourth proportional to 27,878.46, 38,419.17 and 27,366.05 is: 37,713.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,878.46 : 38,419.17 = 27,366.05 : x
  2. Step 2: Convert to fraction form
    27,878.46/38,419.17 = 27,366.05/x
  3. Step 3: Cross multiply
    27,878.46x = 38,419.17 × 27,366.05
  4. Step 4: Simplify right side
    27,878.46x = 1,051,380,927.18
  5. Step 5: Solve for x
    x = 1,051,380,927.18/27,878.46
  6. Step 6: Final answer
    x = 37,713.02

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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.