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Finding the Fourth Proportional to 65,292.12, 97,638.84 and 48,663.72

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Solution

The fourth proportional to 65,292.12, 97,638.84 and 48,663.72 is: 72,772.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,292.12 : 97,638.84 = 48,663.72 : x
  2. Step 2: Convert to fraction form
    65,292.12/97,638.84 = 48,663.72/x
  3. Step 3: Cross multiply
    65,292.12x = 97,638.84 × 48,663.72
  4. Step 4: Simplify right side
    65,292.12x = 4,751,469,170.88
  5. Step 5: Solve for x
    x = 4,751,469,170.88/65,292.12
  6. Step 6: Final answer
    x = 72,772.48

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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.