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Finding the Fourth Proportional to 38,146.32, 52,624.32 and 22,221.36

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Solution

The fourth proportional to 38,146.32, 52,624.32 and 22,221.36 is: 30,655.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,146.32 : 52,624.32 = 22,221.36 : x
  2. Step 2: Convert to fraction form
    38,146.32/52,624.32 = 22,221.36/x
  3. Step 3: Cross multiply
    38,146.32x = 52,624.32 × 22,221.36
  4. Step 4: Simplify right side
    38,146.32x = 1,169,383,959.48
  5. Step 5: Solve for x
    x = 1,169,383,959.48/38,146.32
  6. Step 6: Final answer
    x = 30,655.22

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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.