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Finding the Fourth Proportional to 40,196, 55,470.48 and 23,432.24

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Solution

The fourth proportional to 40,196, 55,470.48 and 23,432.24 is: 32,336.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,196 : 55,470.48 = 23,432.24 : x
  2. Step 2: Convert to fraction form
    40,196/55,470.48 = 23,432.24/x
  3. Step 3: Cross multiply
    40,196x = 55,470.48 × 23,432.24
  4. Step 4: Simplify right side
    40,196x = 1,299,797,600.28
  5. Step 5: Solve for x
    x = 1,299,797,600.28/40,196
  6. Step 6: Final answer
    x = 32,336.49

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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.