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Finding the Fourth Proportional to 66,506, 99,759 and 24,923.84

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Solution

The fourth proportional to 66,506, 99,759 and 24,923.84 is: 37,385.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,506 : 99,759 = 24,923.84 : x
  2. Step 2: Convert to fraction form
    66,506/99,759 = 24,923.84/x
  3. Step 3: Cross multiply
    66,506x = 99,759 × 24,923.84
  4. Step 4: Simplify right side
    66,506x = 2,486,377,354.56
  5. Step 5: Solve for x
    x = 2,486,377,354.56/66,506
  6. Step 6: Final answer
    x = 37,385.76

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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.