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Finding the Fourth Proportional to 66,764.81, 100,160.63 and 24,645.16

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Solution

The fourth proportional to 66,764.81, 100,160.63 and 24,645.16 is: 36,972.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,764.81 : 100,160.63 = 24,645.16 : x
  2. Step 2: Convert to fraction form
    66,764.81/100,160.63 = 24,645.16/x
  3. Step 3: Cross multiply
    66,764.81x = 100,160.63 × 24,645.16
  4. Step 4: Simplify right side
    66,764.81x = 2,468,474,752.05
  5. Step 5: Solve for x
    x = 2,468,474,752.05/66,764.81
  6. Step 6: Final answer
    x = 36,972.69

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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.