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Finding the Fourth Proportional to 38,768.32, 53,505.12 and 22,006.72

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Solution

The fourth proportional to 38,768.32, 53,505.12 and 22,006.72 is: 30,372.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,768.32 : 53,505.12 = 22,006.72 : x
  2. Step 2: Convert to fraction form
    38,768.32/53,505.12 = 22,006.72/x
  3. Step 3: Cross multiply
    38,768.32x = 53,505.12 × 22,006.72
  4. Step 4: Simplify right side
    38,768.32x = 1,177,472,194.41
  5. Step 5: Solve for x
    x = 1,177,472,194.41/38,768.32
  6. Step 6: Final answer
    x = 30,372.02

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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.