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Finding the Fourth Proportional to 29,697.50, 40,982.54 and 17,760.83

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Solution

The fourth proportional to 29,697.50, 40,982.54 and 17,760.83 is: 24,509.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,697.50 : 40,982.54 = 17,760.83 : x
  2. Step 2: Convert to fraction form
    29,697.50/40,982.54 = 17,760.83/x
  3. Step 3: Cross multiply
    29,697.50x = 40,982.54 × 17,760.83
  4. Step 4: Simplify right side
    29,697.50x = 727,884,067.08
  5. Step 5: Solve for x
    x = 727,884,067.08/29,697.50
  6. Step 6: Final answer
    x = 24,509.95

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1.5x scale

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.