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Finding the Fourth Proportional to 47,956.01, 71,978.38 and 24,280.19

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Solution

The fourth proportional to 47,956.01, 71,978.38 and 24,280.19 is: 36,442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,956.01 : 71,978.38 = 24,280.19 : x
  2. Step 2: Convert to fraction form
    47,956.01/71,978.38 = 24,280.19/x
  3. Step 3: Cross multiply
    47,956.01x = 71,978.38 × 24,280.19
  4. Step 4: Simplify right side
    47,956.01x = 1,747,648,742.29
  5. Step 5: Solve for x
    x = 1,747,648,742.29/47,956.01
  6. Step 6: Final answer
    x = 36,442.75

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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.