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Finding the Fourth Proportional to 43,523, 60,062.12 and 23,651

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Solution

The fourth proportional to 43,523, 60,062.12 and 23,651 is: 32,638.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,523 : 60,062.12 = 23,651 : x
  2. Step 2: Convert to fraction form
    43,523/60,062.12 = 23,651/x
  3. Step 3: Cross multiply
    43,523x = 60,062.12 × 23,651
  4. Step 4: Simplify right side
    43,523x = 1,420,529,200.12
  5. Step 5: Solve for x
    x = 1,420,529,200.12/43,523
  6. Step 6: Final answer
    x = 32,638.59

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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.