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Finding the Fourth Proportional to 45,381.16, 68,080.38 and 17,677

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Solution

The fourth proportional to 45,381.16, 68,080.38 and 17,677 is: 26,518.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,381.16 : 68,080.38 = 17,677 : x
  2. Step 2: Convert to fraction form
    45,381.16/68,080.38 = 17,677/x
  3. Step 3: Cross multiply
    45,381.16x = 68,080.38 × 17,677
  4. Step 4: Simplify right side
    45,381.16x = 1,203,456,877.26
  5. Step 5: Solve for x
    x = 1,203,456,877.26/45,381.16
  6. Step 6: Final answer
    x = 26,518.87

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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.