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Finding the Fourth Proportional to 45,617.92, 68,428.80 and 22,264

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Solution

The fourth proportional to 45,617.92, 68,428.80 and 22,264 is: 33,396.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,617.92 : 68,428.80 = 22,264 : x
  2. Step 2: Convert to fraction form
    45,617.92/68,428.80 = 22,264/x
  3. Step 3: Cross multiply
    45,617.92x = 68,428.80 × 22,264
  4. Step 4: Simplify right side
    45,617.92x = 1,523,498,803.20
  5. Step 5: Solve for x
    x = 1,523,498,803.20/45,617.92
  6. Step 6: Final answer
    x = 33,396.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.