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Finding the Fourth Proportional to 66,916.38, 92,346.30 and 37,842.42

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Solution

The fourth proportional to 66,916.38, 92,346.30 and 37,842.42 is: 52,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,916.38 : 92,346.30 = 37,842.42 : x
  2. Step 2: Convert to fraction form
    66,916.38/92,346.30 = 37,842.42/x
  3. Step 3: Cross multiply
    66,916.38x = 92,346.30 × 37,842.42
  4. Step 4: Simplify right side
    66,916.38x = 3,494,607,470.05
  5. Step 5: Solve for x
    x = 3,494,607,470.05/66,916.38
  6. Step 6: Final answer
    x = 52,223.50

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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.