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Finding the Fourth Proportional to 31,643.28, 43,670.34 and 17,500.68

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Solution

The fourth proportional to 31,643.28, 43,670.34 and 17,500.68 is: 24,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,643.28 : 43,670.34 = 17,500.68 : x
  2. Step 2: Convert to fraction form
    31,643.28/43,670.34 = 17,500.68/x
  3. Step 3: Cross multiply
    31,643.28x = 43,670.34 × 17,500.68
  4. Step 4: Simplify right side
    31,643.28x = 764,260,645.83
  5. Step 5: Solve for x
    x = 764,260,645.83/31,643.28
  6. Step 6: Final answer
    x = 24,152.38

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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.