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Finding the Fourth Proportional to 32,657.14, 45,066.84 and 17,753.14

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Solution

The fourth proportional to 32,657.14, 45,066.84 and 17,753.14 is: 24,499.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,657.14 : 45,066.84 = 17,753.14 : x
  2. Step 2: Convert to fraction form
    32,657.14/45,066.84 = 17,753.14/x
  3. Step 3: Cross multiply
    32,657.14x = 45,066.84 × 17,753.14
  4. Step 4: Simplify right side
    32,657.14x = 800,077,919.88
  5. Step 5: Solve for x
    x = 800,077,919.88/32,657.14
  6. Step 6: Final answer
    x = 24,499.33

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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.