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Finding the Fourth Proportional to 70,198.70, 96,874.92 and 38,368.13

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Solution

The fourth proportional to 70,198.70, 96,874.92 and 38,368.13 is: 52,948.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,198.70 : 96,874.92 = 38,368.13 : x
  2. Step 2: Convert to fraction form
    70,198.70/96,874.92 = 38,368.13/x
  3. Step 3: Cross multiply
    70,198.70x = 96,874.92 × 38,368.13
  4. Step 4: Simplify right side
    70,198.70x = 3,716,909,039.93
  5. Step 5: Solve for x
    x = 3,716,909,039.93/70,198.70
  6. Step 6: Final answer
    x = 52,948.41

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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.