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Finding the Fourth Proportional to 66,984.63, 100,406.16 and 24,261.57

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Solution

The fourth proportional to 66,984.63, 100,406.16 and 24,261.57 is: 36,366.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,984.63 : 100,406.16 = 24,261.57 : x
  2. Step 2: Convert to fraction form
    66,984.63/100,406.16 = 24,261.57/x
  3. Step 3: Cross multiply
    66,984.63x = 100,406.16 × 24,261.57
  4. Step 4: Simplify right side
    66,984.63x = 2,436,011,079.27
  5. Step 5: Solve for x
    x = 2,436,011,079.27/66,984.63
  6. Step 6: Final answer
    x = 36,366.72

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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.