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Finding the Fourth Proportional to 32,814.30, 45,272.38 and 18,471.82

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Solution

The fourth proportional to 32,814.30, 45,272.38 and 18,471.82 is: 25,484.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,814.30 : 45,272.38 = 18,471.82 : x
  2. Step 2: Convert to fraction form
    32,814.30/45,272.38 = 18,471.82/x
  3. Step 3: Cross multiply
    32,814.30x = 45,272.38 × 18,471.82
  4. Step 4: Simplify right side
    32,814.30x = 836,263,254.33
  5. Step 5: Solve for x
    x = 836,263,254.33/32,814.30
  6. Step 6: Final answer
    x = 25,484.72

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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.