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Finding the Fourth Proportional to 67,780, 93,537.48 and 37,972

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Solution

The fourth proportional to 67,780, 93,537.48 and 37,972 is: 52,401.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,780 : 93,537.48 = 37,972 : x
  2. Step 2: Convert to fraction form
    67,780/93,537.48 = 37,972/x
  3. Step 3: Cross multiply
    67,780x = 93,537.48 × 37,972
  4. Step 4: Simplify right side
    67,780x = 3,551,805,190.56
  5. Step 5: Solve for x
    x = 3,551,805,190.56/67,780
  6. Step 6: Final answer
    x = 52,401.97

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