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Finding the Fourth Proportional to 38,201.95, 57,367.55 and 24,897.55

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Solution

The fourth proportional to 38,201.95, 57,367.55 and 24,897.55 is: 37,388.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,201.95 : 57,367.55 = 24,897.55 : x
  2. Step 2: Convert to fraction form
    38,201.95/57,367.55 = 24,897.55/x
  3. Step 3: Cross multiply
    38,201.95x = 57,367.55 × 24,897.55
  4. Step 4: Simplify right side
    38,201.95x = 1,428,311,444.50
  5. Step 5: Solve for x
    x = 1,428,311,444.50/38,201.95
  6. Step 6: Final answer
    x = 37,388.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.