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Finding the Fourth Proportional to 45,417, 68,142.84 and 17,717.16

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Solution

The fourth proportional to 45,417, 68,142.84 and 17,717.16 is: 26,582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,417 : 68,142.84 = 17,717.16 : x
  2. Step 2: Convert to fraction form
    45,417/68,142.84 = 17,717.16/x
  3. Step 3: Cross multiply
    45,417x = 68,142.84 × 17,717.16
  4. Step 4: Simplify right side
    45,417x = 1,207,297,599.13
  5. Step 5: Solve for x
    x = 1,207,297,599.13/45,417
  6. Step 6: Final answer
    x = 26,582.50

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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.