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Finding the Fourth Proportional to 67,690, 93,412.20 and 37,882

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Solution

The fourth proportional to 67,690, 93,412.20 and 37,882 is: 52,277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,690 : 93,412.20 = 37,882 : x
  2. Step 2: Convert to fraction form
    67,690/93,412.20 = 37,882/x
  3. Step 3: Cross multiply
    67,690x = 93,412.20 × 37,882
  4. Step 4: Simplify right side
    67,690x = 3,538,640,960.40
  5. Step 5: Solve for x
    x = 3,538,640,960.40/67,690
  6. Step 6: Final answer
    x = 52,277.16

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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.