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Finding the Fourth Proportional to 43,537, 60,082.02 and 23,665

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Solution

The fourth proportional to 43,537, 60,082.02 and 23,665 is: 32,658.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,537 : 60,082.02 = 23,665 : x
  2. Step 2: Convert to fraction form
    43,537/60,082.02 = 23,665/x
  3. Step 3: Cross multiply
    43,537x = 60,082.02 × 23,665
  4. Step 4: Simplify right side
    43,537x = 1,421,841,003.30
  5. Step 5: Solve for x
    x = 1,421,841,003.30/43,537
  6. Step 6: Final answer
    x = 32,658.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.