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Finding the Fourth Proportional to 43,219, 59,642.22 and 23,347

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Solution

The fourth proportional to 43,219, 59,642.22 and 23,347 is: 32,218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,219 : 59,642.22 = 23,347 : x
  2. Step 2: Convert to fraction form
    43,219/59,642.22 = 23,347/x
  3. Step 3: Cross multiply
    43,219x = 59,642.22 × 23,347
  4. Step 4: Simplify right side
    43,219x = 1,392,466,910.34
  5. Step 5: Solve for x
    x = 1,392,466,910.34/43,219
  6. Step 6: Final answer
    x = 32,218.86

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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.