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Finding the Fourth Proportional to 38,878.82, 53,577.86 and 28,251.62

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Solution

The fourth proportional to 38,878.82, 53,577.86 and 28,251.62 is: 38,932.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,878.82 : 53,577.86 = 28,251.62 : x
  2. Step 2: Convert to fraction form
    38,878.82/53,577.86 = 28,251.62/x
  3. Step 3: Cross multiply
    38,878.82x = 53,577.86 × 28,251.62
  4. Step 4: Simplify right side
    38,878.82x = 1,513,661,545.71
  5. Step 5: Solve for x
    x = 1,513,661,545.71/38,878.82
  6. Step 6: Final answer
    x = 38,932.80

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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.