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Finding the Fourth Proportional to 38,468.80, 57,724.80 and 16,278.40

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Solution

The fourth proportional to 38,468.80, 57,724.80 and 16,278.40 is: 24,426.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,468.80 : 57,724.80 = 16,278.40 : x
  2. Step 2: Convert to fraction form
    38,468.80/57,724.80 = 16,278.40/x
  3. Step 3: Cross multiply
    38,468.80x = 57,724.80 × 16,278.40
  4. Step 4: Simplify right side
    38,468.80x = 939,667,384.32
  5. Step 5: Solve for x
    x = 939,667,384.32/38,468.80
  6. Step 6: Final answer
    x = 24,426.74

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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.