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Finding the Fourth Proportional to 27,832.61, 38,414.80 and 25,590.94

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Solution

The fourth proportional to 27,832.61, 38,414.80 and 25,590.94 is: 35,320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832.61 : 38,414.80 = 25,590.94 : x
  2. Step 2: Convert to fraction form
    27,832.61/38,414.80 = 25,590.94/x
  3. Step 3: Cross multiply
    27,832.61x = 38,414.80 × 25,590.94
  4. Step 4: Simplify right side
    27,832.61x = 983,070,841.91
  5. Step 5: Solve for x
    x = 983,070,841.91/27,832.61
  6. Step 6: Final answer
    x = 35,320.83

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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.