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Finding the Fourth Proportional to 59,418, 81,996.88 and 32,922

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Solution

The fourth proportional to 59,418, 81,996.88 and 32,922 is: 45,432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,418 : 81,996.88 = 32,922 : x
  2. Step 2: Convert to fraction form
    59,418/81,996.88 = 32,922/x
  3. Step 3: Cross multiply
    59,418x = 81,996.88 × 32,922
  4. Step 4: Simplify right side
    59,418x = 2,699,501,283.36
  5. Step 5: Solve for x
    x = 2,699,501,283.36/59,418
  6. Step 6: Final answer
    x = 45,432.38

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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.