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Finding the Fourth Proportional to 53,150.46, 79,744.08 and 23,589

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Solution

The fourth proportional to 53,150.46, 79,744.08 and 23,589 is: 35,391.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,150.46 : 79,744.08 = 23,589 : x
  2. Step 2: Convert to fraction form
    53,150.46/79,744.08 = 23,589/x
  3. Step 3: Cross multiply
    53,150.46x = 79,744.08 × 23,589
  4. Step 4: Simplify right side
    53,150.46x = 1,881,083,103.12
  5. Step 5: Solve for x
    x = 1,881,083,103.12/53,150.46
  6. Step 6: Final answer
    x = 35,391.66

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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.