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Finding the Fourth Proportional to 70,277.80, 96,984.08 and 38,446

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Solution

The fourth proportional to 70,277.80, 96,984.08 and 38,446 is: 53,055.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,277.80 : 96,984.08 = 38,446 : x
  2. Step 2: Convert to fraction form
    70,277.80/96,984.08 = 38,446/x
  3. Step 3: Cross multiply
    70,277.80x = 96,984.08 × 38,446
  4. Step 4: Simplify right side
    70,277.80x = 3,728,649,939.68
  5. Step 5: Solve for x
    x = 3,728,649,939.68/70,277.80
  6. Step 6: Final answer
    x = 53,055.87

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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.