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Finding the Fourth Proportional to 70,151.80, 96,811.56 and 38,321.22

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Solution

The fourth proportional to 70,151.80, 96,811.56 and 38,321.22 is: 52,884.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,151.80 : 96,811.56 = 38,321.22 : x
  2. Step 2: Convert to fraction form
    70,151.80/96,811.56 = 38,321.22/x
  3. Step 3: Cross multiply
    70,151.80x = 96,811.56 × 38,321.22
  4. Step 4: Simplify right side
    70,151.80x = 3,709,937,089.30
  5. Step 5: Solve for x
    x = 3,709,937,089.30/70,151.80
  6. Step 6: Final answer
    x = 52,884.42

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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.