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Finding the Fourth Proportional to 70,033.21, 96,640.80 and 38,201.42

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Solution

The fourth proportional to 70,033.21, 96,640.80 and 38,201.42 is: 52,715.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,033.21 : 96,640.80 = 38,201.42 : x
  2. Step 2: Convert to fraction form
    70,033.21/96,640.80 = 38,201.42/x
  3. Step 3: Cross multiply
    70,033.21x = 96,640.80 × 38,201.42
  4. Step 4: Simplify right side
    70,033.21x = 3,691,815,888.28
  5. Step 5: Solve for x
    x = 3,691,815,888.28/70,033.21
  6. Step 6: Final answer
    x = 52,715.22

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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.