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Finding the Fourth Proportional to 65,105.79, 97,666.49 and 22,977.16

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Solution

The fourth proportional to 65,105.79, 97,666.49 and 22,977.16 is: 34,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,105.79 : 97,666.49 = 22,977.16 : x
  2. Step 2: Convert to fraction form
    65,105.79/97,666.49 = 22,977.16/x
  3. Step 3: Cross multiply
    65,105.79x = 97,666.49 × 22,977.16
  4. Step 4: Simplify right side
    65,105.79x = 2,244,098,452.48
  5. Step 5: Solve for x
    x = 2,244,098,452.48/65,105.79
  6. Step 6: Final answer
    x = 34,468.50

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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.