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Finding the Fourth Proportional to 65,233.76, 97,894.44 and 23,680.76

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Solution

The fourth proportional to 65,233.76, 97,894.44 and 23,680.76 is: 35,537.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,233.76 : 97,894.44 = 23,680.76 : x
  2. Step 2: Convert to fraction form
    65,233.76/97,894.44 = 23,680.76/x
  3. Step 3: Cross multiply
    65,233.76x = 97,894.44 × 23,680.76
  4. Step 4: Simplify right side
    65,233.76x = 2,318,214,249.50
  5. Step 5: Solve for x
    x = 2,318,214,249.50/65,233.76
  6. Step 6: Final answer
    x = 35,537.04

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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.