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Finding the Fourth Proportional to 67,836, 93,613.68 and 41,340

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Solution

The fourth proportional to 67,836, 93,613.68 and 41,340 is: 57,049.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,836 : 93,613.68 = 41,340 : x
  2. Step 2: Convert to fraction form
    67,836/93,613.68 = 41,340/x
  3. Step 3: Cross multiply
    67,836x = 93,613.68 × 41,340
  4. Step 4: Simplify right side
    67,836x = 3,869,989,531.20
  5. Step 5: Solve for x
    x = 3,869,989,531.20/67,836
  6. Step 6: Final answer
    x = 57,049.20

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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.