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Finding the Fourth Proportional to 84,971.88, 127,473.12 and 35,024.20

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Solution

The fourth proportional to 84,971.88, 127,473.12 and 35,024.20 is: 52,542.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,971.88 : 127,473.12 = 35,024.20 : x
  2. Step 2: Convert to fraction form
    84,971.88/127,473.12 = 35,024.20/x
  3. Step 3: Cross multiply
    84,971.88x = 127,473.12 × 35,024.20
  4. Step 4: Simplify right side
    84,971.88x = 4,464,644,049.50
  5. Step 5: Solve for x
    x = 4,464,644,049.50/84,971.88
  6. Step 6: Final answer
    x = 52,542.61

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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.