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Finding the Fourth Proportional to 70,278.96, 96,984.14 and 38,447.48

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Solution

The fourth proportional to 70,278.96, 96,984.14 and 38,447.48 is: 53,057.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,278.96 : 96,984.14 = 38,447.48 : x
  2. Step 2: Convert to fraction form
    70,278.96/96,984.14 = 38,447.48/x
  3. Step 3: Cross multiply
    70,278.96x = 96,984.14 × 38,447.48
  4. Step 4: Simplify right side
    70,278.96x = 3,728,795,782.97
  5. Step 5: Solve for x
    x = 3,728,795,782.97/70,278.96
  6. Step 6: Final answer
    x = 53,057.07

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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.