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Finding the Fourth Proportional to 84,760, 116,972.45 and 47,034.25

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Solution

The fourth proportional to 84,760, 116,972.45 and 47,034.25 is: 64,909.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,760 : 116,972.45 = 47,034.25 : x
  2. Step 2: Convert to fraction form
    84,760/116,972.45 = 47,034.25/x
  3. Step 3: Cross multiply
    84,760x = 116,972.45 × 47,034.25
  4. Step 4: Simplify right side
    84,760x = 5,501,711,456.41
  5. Step 5: Solve for x
    x = 5,501,711,456.41/84,760
  6. Step 6: Final answer
    x = 64,909.29

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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.