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Finding the Fourth Proportional to 70,202.58, 96,885.33 and 39,997.38

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Solution

The fourth proportional to 70,202.58, 96,885.33 and 39,997.38 is: 55,199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,202.58 : 96,885.33 = 39,997.38 : x
  2. Step 2: Convert to fraction form
    70,202.58/96,885.33 = 39,997.38/x
  3. Step 3: Cross multiply
    70,202.58x = 96,885.33 × 39,997.38
  4. Step 4: Simplify right side
    70,202.58x = 3,875,159,360.44
  5. Step 5: Solve for x
    x = 3,875,159,360.44/70,202.58
  6. Step 6: Final answer
    x = 55,199.67

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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.