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Finding the Fourth Proportional to 38,560.34, 53,202.48 and 24,221.72

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Solution

The fourth proportional to 38,560.34, 53,202.48 and 24,221.72 is: 33,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,560.34 : 53,202.48 = 24,221.72 : x
  2. Step 2: Convert to fraction form
    38,560.34/53,202.48 = 24,221.72/x
  3. Step 3: Cross multiply
    38,560.34x = 53,202.48 × 24,221.72
  4. Step 4: Simplify right side
    38,560.34x = 1,288,655,573.87
  5. Step 5: Solve for x
    x = 1,288,655,573.87/38,560.34
  6. Step 6: Final answer
    x = 33,419.20

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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.