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Finding the Fourth Proportional to 65,902.34, 98,868.03 and 19,158.86

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Solution

The fourth proportional to 65,902.34, 98,868.03 and 19,158.86 is: 28,742.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,902.34 : 98,868.03 = 19,158.86 : x
  2. Step 2: Convert to fraction form
    65,902.34/98,868.03 = 19,158.86/x
  3. Step 3: Cross multiply
    65,902.34x = 98,868.03 × 19,158.86
  4. Step 4: Simplify right side
    65,902.34x = 1,894,198,745.25
  5. Step 5: Solve for x
    x = 1,894,198,745.25/65,902.34
  6. Step 6: Final answer
    x = 28,742.51

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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.