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Finding the Fourth Proportional to 49,859.20, 74,803.29 and 16,124.50

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Solution

The fourth proportional to 49,859.20, 74,803.29 and 16,124.50 is: 24,191.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,859.20 : 74,803.29 = 16,124.50 : x
  2. Step 2: Convert to fraction form
    49,859.20/74,803.29 = 16,124.50/x
  3. Step 3: Cross multiply
    49,859.20x = 74,803.29 × 16,124.50
  4. Step 4: Simplify right side
    49,859.20x = 1,206,165,649.61
  5. Step 5: Solve for x
    x = 1,206,165,649.61/49,859.20
  6. Step 6: Final answer
    x = 24,191.44

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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.