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Finding the Fourth Proportional to 32,821, 45,294.08 and 17,917

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Solution

The fourth proportional to 32,821, 45,294.08 and 17,917 is: 24,726.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,821 : 45,294.08 = 17,917 : x
  2. Step 2: Convert to fraction form
    32,821/45,294.08 = 17,917/x
  3. Step 3: Cross multiply
    32,821x = 45,294.08 × 17,917
  4. Step 4: Simplify right side
    32,821x = 811,534,031.36
  5. Step 5: Solve for x
    x = 811,534,031.36/32,821
  6. Step 6: Final answer
    x = 24,726.06

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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.