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Finding the Fourth Proportional to 49,363.68, 74,030.16 and 16,524

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Solution

The fourth proportional to 49,363.68, 74,030.16 and 16,524 is: 24,780.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,363.68 : 74,030.16 = 16,524 : x
  2. Step 2: Convert to fraction form
    49,363.68/74,030.16 = 16,524/x
  3. Step 3: Cross multiply
    49,363.68x = 74,030.16 × 16,524
  4. Step 4: Simplify right side
    49,363.68x = 1,223,274,363.84
  5. Step 5: Solve for x
    x = 1,223,274,363.84/49,363.68
  6. Step 6: Final answer
    x = 24,780.86

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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.