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Finding the Fourth Proportional to 70,904.25, 97,847.45 and 38,638.80

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Solution

The fourth proportional to 70,904.25, 97,847.45 and 38,638.80 is: 53,321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,904.25 : 97,847.45 = 38,638.80 : x
  2. Step 2: Convert to fraction form
    70,904.25/97,847.45 = 38,638.80/x
  3. Step 3: Cross multiply
    70,904.25x = 97,847.45 × 38,638.80
  4. Step 4: Simplify right side
    70,904.25x = 3,780,707,857.87
  5. Step 5: Solve for x
    x = 3,780,707,857.87/70,904.25
  6. Step 6: Final answer
    x = 53,321.32

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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.