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Finding the Fourth Proportional to 70,994.16, 97,972.23 and 38,729.47

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Solution

The fourth proportional to 70,994.16, 97,972.23 and 38,729.47 is: 53,446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,994.16 : 97,972.23 = 38,729.47 : x
  2. Step 2: Convert to fraction form
    70,994.16/97,972.23 = 38,729.47/x
  3. Step 3: Cross multiply
    70,994.16x = 97,972.23 × 38,729.47
  4. Step 4: Simplify right side
    70,994.16x = 3,794,412,725.97
  5. Step 5: Solve for x
    x = 3,794,412,725.97/70,994.16
  6. Step 6: Final answer
    x = 53,446.83

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1.5x scale

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.