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Finding the Fourth Proportional to 38,780.32, 53,492.88 and 27,605.92

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Solution

The fourth proportional to 38,780.32, 53,492.88 and 27,605.92 is: 38,079.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,780.32 : 53,492.88 = 27,605.92 : x
  2. Step 2: Convert to fraction form
    38,780.32/53,492.88 = 27,605.92/x
  3. Step 3: Cross multiply
    38,780.32x = 53,492.88 × 27,605.92
  4. Step 4: Simplify right side
    38,780.32x = 1,476,720,165.85
  5. Step 5: Solve for x
    x = 1,476,720,165.85/38,780.32
  6. Step 6: Final answer
    x = 38,079.11

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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.