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Finding the Fourth Proportional to 66,913.38, 92,342.16 and 37,839.42

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Solution

The fourth proportional to 66,913.38, 92,342.16 and 37,839.42 is: 52,219.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,913.38 : 92,342.16 = 37,839.42 : x
  2. Step 2: Convert to fraction form
    66,913.38/92,342.16 = 37,839.42/x
  3. Step 3: Cross multiply
    66,913.38x = 92,342.16 × 37,839.42
  4. Step 4: Simplify right side
    66,913.38x = 3,494,173,775.95
  5. Step 5: Solve for x
    x = 3,494,173,775.95/66,913.38
  6. Step 6: Final answer
    x = 52,219.36

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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.