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Finding the Fourth Proportional to 49,145.52, 73,711.02 and 24,178.86

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Solution

The fourth proportional to 49,145.52, 73,711.02 and 24,178.86 is: 36,264.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,145.52 : 73,711.02 = 24,178.86 : x
  2. Step 2: Convert to fraction form
    49,145.52/73,711.02 = 24,178.86/x
  3. Step 3: Cross multiply
    49,145.52x = 73,711.02 × 24,178.86
  4. Step 4: Simplify right side
    49,145.52x = 1,782,248,433.04
  5. Step 5: Solve for x
    x = 1,782,248,433.04/49,145.52
  6. Step 6: Final answer
    x = 36,264.72

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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.