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Finding the Fourth Proportional to 79,974, 119,963.16 and 24,570

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Solution

The fourth proportional to 79,974, 119,963.16 and 24,570 is: 36,855.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,974 : 119,963.16 = 24,570 : x
  2. Step 2: Convert to fraction form
    79,974/119,963.16 = 24,570/x
  3. Step 3: Cross multiply
    79,974x = 119,963.16 × 24,570
  4. Step 4: Simplify right side
    79,974x = 2,947,494,841.20
  5. Step 5: Solve for x
    x = 2,947,494,841.20/79,974
  6. Step 6: Final answer
    x = 36,855.66

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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.