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Finding the Fourth Proportional to 43,384, 59,869.96 and 23,512

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Solution

The fourth proportional to 43,384, 59,869.96 and 23,512 is: 32,446.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,384 : 59,869.96 = 23,512 : x
  2. Step 2: Convert to fraction form
    43,384/59,869.96 = 23,512/x
  3. Step 3: Cross multiply
    43,384x = 59,869.96 × 23,512
  4. Step 4: Simplify right side
    43,384x = 1,407,662,499.52
  5. Step 5: Solve for x
    x = 1,407,662,499.52/43,384
  6. Step 6: Final answer
    x = 32,446.58

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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.