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Finding the Fourth Proportional to 68,833.78, 94,982.16 and 40,534

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Solution

The fourth proportional to 68,833.78, 94,982.16 and 40,534 is: 55,931.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,833.78 : 94,982.16 = 40,534 : x
  2. Step 2: Convert to fraction form
    68,833.78/94,982.16 = 40,534/x
  3. Step 3: Cross multiply
    68,833.78x = 94,982.16 × 40,534
  4. Step 4: Simplify right side
    68,833.78x = 3,850,006,873.44
  5. Step 5: Solve for x
    x = 3,850,006,873.44/68,833.78
  6. Step 6: Final answer
    x = 55,931.94

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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.