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Finding the Fourth Proportional to 67,755, 93,501.90 and 37,947

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Solution

The fourth proportional to 67,755, 93,501.90 and 37,947 is: 52,366.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,755 : 93,501.90 = 37,947 : x
  2. Step 2: Convert to fraction form
    67,755/93,501.90 = 37,947/x
  3. Step 3: Cross multiply
    67,755x = 93,501.90 × 37,947
  4. Step 4: Simplify right side
    67,755x = 3,548,116,599.30
  5. Step 5: Solve for x
    x = 3,548,116,599.30/67,755
  6. Step 6: Final answer
    x = 52,366.86

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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.