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Finding the Fourth Proportional to 33,264, 45,887.76 and 23,213.52

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Solution

The fourth proportional to 33,264, 45,887.76 and 23,213.52 is: 32,023.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,264 : 45,887.76 = 23,213.52 : x
  2. Step 2: Convert to fraction form
    33,264/45,887.76 = 23,213.52/x
  3. Step 3: Cross multiply
    33,264x = 45,887.76 × 23,213.52
  4. Step 4: Simplify right side
    33,264x = 1,065,216,434.52
  5. Step 5: Solve for x
    x = 1,065,216,434.52/33,264
  6. Step 6: Final answer
    x = 32,023.10

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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.