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Finding the Fourth Proportional to 38,883.28, 53,658.80 and 22,116.32

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Solution

The fourth proportional to 38,883.28, 53,658.80 and 22,116.32 is: 30,520.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,883.28 : 53,658.80 = 22,116.32 : x
  2. Step 2: Convert to fraction form
    38,883.28/53,658.80 = 22,116.32/x
  3. Step 3: Cross multiply
    38,883.28x = 53,658.80 × 22,116.32
  4. Step 4: Simplify right side
    38,883.28x = 1,186,735,191.62
  5. Step 5: Solve for x
    x = 1,186,735,191.62/38,883.28
  6. Step 6: Final answer
    x = 30,520.45

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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.