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Finding the Fourth Proportional to 45,642.48, 68,468.16 and 17,934

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Solution

The fourth proportional to 45,642.48, 68,468.16 and 17,934 is: 26,902.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,642.48 : 68,468.16 = 17,934 : x
  2. Step 2: Convert to fraction form
    45,642.48/68,468.16 = 17,934/x
  3. Step 3: Cross multiply
    45,642.48x = 68,468.16 × 17,934
  4. Step 4: Simplify right side
    45,642.48x = 1,227,907,981.44
  5. Step 5: Solve for x
    x = 1,227,907,981.44/45,642.48
  6. Step 6: Final answer
    x = 26,902.74

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