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Finding the Fourth Proportional to 38,876.80, 53,642.46 and 21,878.78

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Solution

The fourth proportional to 38,876.80, 53,642.46 and 21,878.78 is: 30,188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,876.80 : 53,642.46 = 21,878.78 : x
  2. Step 2: Convert to fraction form
    38,876.80/53,642.46 = 21,878.78/x
  3. Step 3: Cross multiply
    38,876.80x = 53,642.46 × 21,878.78
  4. Step 4: Simplify right side
    38,876.80x = 1,173,631,581.00
  5. Step 5: Solve for x
    x = 1,173,631,581.00/38,876.80
  6. Step 6: Final answer
    x = 30,188.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.