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Finding the Fourth Proportional to 66,827.66, 92,222.10 and 36,614.86

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Solution

The fourth proportional to 66,827.66, 92,222.10 and 36,614.86 is: 50,528.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,827.66 : 92,222.10 = 36,614.86 : x
  2. Step 2: Convert to fraction form
    66,827.66/92,222.10 = 36,614.86/x
  3. Step 3: Cross multiply
    66,827.66x = 92,222.10 × 36,614.86
  4. Step 4: Simplify right side
    66,827.66x = 3,376,699,049.85
  5. Step 5: Solve for x
    x = 3,376,699,049.85/66,827.66
  6. Step 6: Final answer
    x = 50,528.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.