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Finding the Fourth Proportional to 32,786, 45,244.72 and 17,882

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Solution

The fourth proportional to 32,786, 45,244.72 and 17,882 is: 24,677.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,786 : 45,244.72 = 17,882 : x
  2. Step 2: Convert to fraction form
    32,786/45,244.72 = 17,882/x
  3. Step 3: Cross multiply
    32,786x = 45,244.72 × 17,882
  4. Step 4: Simplify right side
    32,786x = 809,066,083.04
  5. Step 5: Solve for x
    x = 809,066,083.04/32,786
  6. Step 6: Final answer
    x = 24,677.18

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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.