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Finding the Fourth Proportional to 84,283.50, 126,432.54 and 21,954

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Solution

The fourth proportional to 84,283.50, 126,432.54 and 21,954 is: 32,932.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,283.50 : 126,432.54 = 21,954 : x
  2. Step 2: Convert to fraction form
    84,283.50/126,432.54 = 21,954/x
  3. Step 3: Cross multiply
    84,283.50x = 126,432.54 × 21,954
  4. Step 4: Simplify right side
    84,283.50x = 2,775,699,983.16
  5. Step 5: Solve for x
    x = 2,775,699,983.16/84,283.50
  6. Step 6: Final answer
    x = 32,932.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.