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Finding the Fourth Proportional to 38,200.64, 52,699.52 and 24,775.28

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Solution

The fourth proportional to 38,200.64, 52,699.52 and 24,775.28 is: 34,178.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,200.64 : 52,699.52 = 24,775.28 : x
  2. Step 2: Convert to fraction form
    38,200.64/52,699.52 = 24,775.28/x
  3. Step 3: Cross multiply
    38,200.64x = 52,699.52 × 24,775.28
  4. Step 4: Simplify right side
    38,200.64x = 1,305,645,363.87
  5. Step 5: Solve for x
    x = 1,305,645,363.87/38,200.64
  6. Step 6: Final answer
    x = 34,178.63

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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.