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Finding the Fourth Proportional to 84,301.50, 126,459.54 and 21,972

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Solution

The fourth proportional to 84,301.50, 126,459.54 and 21,972 is: 32,959.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,301.50 : 126,459.54 = 21,972 : x
  2. Step 2: Convert to fraction form
    84,301.50/126,459.54 = 21,972/x
  3. Step 3: Cross multiply
    84,301.50x = 126,459.54 × 21,972
  4. Step 4: Simplify right side
    84,301.50x = 2,778,569,012.88
  5. Step 5: Solve for x
    x = 2,778,569,012.88/84,301.50
  6. Step 6: Final answer
    x = 32,959.90

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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.