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Finding the Fourth Proportional to 65,244.72, 97,829.55 and 34,812.48

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Solution

The fourth proportional to 65,244.72, 97,829.55 and 34,812.48 is: 52,198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,244.72 : 97,829.55 = 34,812.48 : x
  2. Step 2: Convert to fraction form
    65,244.72/97,829.55 = 34,812.48/x
  3. Step 3: Cross multiply
    65,244.72x = 97,829.55 × 34,812.48
  4. Step 4: Simplify right side
    65,244.72x = 3,405,689,252.78
  5. Step 5: Solve for x
    x = 3,405,689,252.78/65,244.72
  6. Step 6: Final answer
    x = 52,198.70

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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.