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Finding the Fourth Proportional to 70,325.94, 97,049.92 and 38,496.86

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Solution

The fourth proportional to 70,325.94, 97,049.92 and 38,496.86 is: 53,125.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,325.94 : 97,049.92 = 38,496.86 : x
  2. Step 2: Convert to fraction form
    70,325.94/97,049.92 = 38,496.86/x
  3. Step 3: Cross multiply
    70,325.94x = 97,049.92 × 38,496.86
  4. Step 4: Simplify right side
    70,325.94x = 3,736,117,183.25
  5. Step 5: Solve for x
    x = 3,736,117,183.25/70,325.94
  6. Step 6: Final answer
    x = 53,125.73

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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.