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Finding the Fourth Proportional to 70,277.36, 96,982.70 and 38,446.24

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Solution

The fourth proportional to 70,277.36, 96,982.70 and 38,446.24 is: 53,055.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,277.36 : 96,982.70 = 38,446.24 : x
  2. Step 2: Convert to fraction form
    70,277.36/96,982.70 = 38,446.24/x
  3. Step 3: Cross multiply
    70,277.36x = 96,982.70 × 38,446.24
  4. Step 4: Simplify right side
    70,277.36x = 3,728,620,160.05
  5. Step 5: Solve for x
    x = 3,728,620,160.05/70,277.36
  6. Step 6: Final answer
    x = 53,055.78

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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.