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Finding the Fourth Proportional to 70,388.32, 97,136.16 and 38,557.44

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Solution

The fourth proportional to 70,388.32, 97,136.16 and 38,557.44 is: 53,209.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,388.32 : 97,136.16 = 38,557.44 : x
  2. Step 2: Convert to fraction form
    70,388.32/97,136.16 = 38,557.44/x
  3. Step 3: Cross multiply
    70,388.32x = 97,136.16 × 38,557.44
  4. Step 4: Simplify right side
    70,388.32x = 3,745,321,661.03
  5. Step 5: Solve for x
    x = 3,745,321,661.03/70,388.32
  6. Step 6: Final answer
    x = 53,209.42

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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.