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Finding the Fourth Proportional to 32,822, 45,295.46 and 17,918

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Solution

The fourth proportional to 32,822, 45,295.46 and 17,918 is: 24,727.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,822 : 45,295.46 = 17,918 : x
  2. Step 2: Convert to fraction form
    32,822/45,295.46 = 17,918/x
  3. Step 3: Cross multiply
    32,822x = 45,295.46 × 17,918
  4. Step 4: Simplify right side
    32,822x = 811,604,052.28
  5. Step 5: Solve for x
    x = 811,604,052.28/32,822
  6. Step 6: Final answer
    x = 24,727.44

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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.