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Finding the Fourth Proportional to 65,144, 97,658.08 and 23,581.76

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Solution

The fourth proportional to 65,144, 97,658.08 and 23,581.76 is: 35,351.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,144 : 97,658.08 = 23,581.76 : x
  2. Step 2: Convert to fraction form
    65,144/97,658.08 = 23,581.76/x
  3. Step 3: Cross multiply
    65,144x = 97,658.08 × 23,581.76
  4. Step 4: Simplify right side
    65,144x = 2,302,949,404.62
  5. Step 5: Solve for x
    x = 2,302,949,404.62/65,144
  6. Step 6: Final answer
    x = 35,351.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.