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Finding the Fourth Proportional to 70,976.34, 97,947.45 and 38,711.07

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Solution

The fourth proportional to 70,976.34, 97,947.45 and 38,711.07 is: 53,421.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,976.34 : 97,947.45 = 38,711.07 : x
  2. Step 2: Convert to fraction form
    70,976.34/97,947.45 = 38,711.07/x
  3. Step 3: Cross multiply
    70,976.34x = 97,947.45 × 38,711.07
  4. Step 4: Simplify right side
    70,976.34x = 3,791,650,593.27
  5. Step 5: Solve for x
    x = 3,791,650,593.27/70,976.34
  6. Step 6: Final answer
    x = 53,421.33

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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.