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Finding the Fourth Proportional to 38,560.16, 53,203.36 and 24,222.24

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Solution

The fourth proportional to 38,560.16, 53,203.36 and 24,222.24 is: 33,420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,560.16 : 53,203.36 = 24,222.24 : x
  2. Step 2: Convert to fraction form
    38,560.16/53,203.36 = 24,222.24/x
  3. Step 3: Cross multiply
    38,560.16x = 53,203.36 × 24,222.24
  4. Step 4: Simplify right side
    38,560.16x = 1,288,704,554.73
  5. Step 5: Solve for x
    x = 1,288,704,554.73/38,560.16
  6. Step 6: Final answer
    x = 33,420.62

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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.