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Finding the Fourth Proportional to 38,057.60, 52,530.72 and 22,149.12

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Solution

The fourth proportional to 38,057.60, 52,530.72 and 22,149.12 is: 30,572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,057.60 : 52,530.72 = 22,149.12 : x
  2. Step 2: Convert to fraction form
    38,057.60/52,530.72 = 22,149.12/x
  3. Step 3: Cross multiply
    38,057.60x = 52,530.72 × 22,149.12
  4. Step 4: Simplify right side
    38,057.60x = 1,163,509,220.97
  5. Step 5: Solve for x
    x = 1,163,509,220.97/38,057.60
  6. Step 6: Final answer
    x = 30,572.32

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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.