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Finding the Fourth Proportional to 32,778, 45,234.18 and 17,874

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Solution

The fourth proportional to 32,778, 45,234.18 and 17,874 is: 24,666.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,778 : 45,234.18 = 17,874 : x
  2. Step 2: Convert to fraction form
    32,778/45,234.18 = 17,874/x
  3. Step 3: Cross multiply
    32,778x = 45,234.18 × 17,874
  4. Step 4: Simplify right side
    32,778x = 808,515,733.32
  5. Step 5: Solve for x
    x = 808,515,733.32/32,778
  6. Step 6: Final answer
    x = 24,666.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.