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Finding the Fourth Proportional to 70,028.16, 96,638.04 and 38,197.32

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Solution

The fourth proportional to 70,028.16, 96,638.04 and 38,197.32 is: 52,711.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,028.16 : 96,638.04 = 38,197.32 : x
  2. Step 2: Convert to fraction form
    70,028.16/96,638.04 = 38,197.32/x
  3. Step 3: Cross multiply
    70,028.16x = 96,638.04 × 38,197.32
  4. Step 4: Simplify right side
    70,028.16x = 3,691,314,138.05
  5. Step 5: Solve for x
    x = 3,691,314,138.05/70,028.16
  6. Step 6: Final answer
    x = 52,711.85

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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.