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Finding the Fourth Proportional to 38,552.30, 53,199.25 and 23,442.88

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Solution

The fourth proportional to 38,552.30, 53,199.25 and 23,442.88 is: 32,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,552.30 : 53,199.25 = 23,442.88 : x
  2. Step 2: Convert to fraction form
    38,552.30/53,199.25 = 23,442.88/x
  3. Step 3: Cross multiply
    38,552.30x = 53,199.25 × 23,442.88
  4. Step 4: Simplify right side
    38,552.30x = 1,247,143,442.23
  5. Step 5: Solve for x
    x = 1,247,143,442.23/38,552.30
  6. Step 6: Final answer
    x = 32,349.39

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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.