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Finding the Fourth Proportional to 31,646.30, 43,671.03 and 17,498.66

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Solution

The fourth proportional to 31,646.30, 43,671.03 and 17,498.66 is: 24,147.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,646.30 : 43,671.03 = 17,498.66 : x
  2. Step 2: Convert to fraction form
    31,646.30/43,671.03 = 17,498.66/x
  3. Step 3: Cross multiply
    31,646.30x = 43,671.03 × 17,498.66
  4. Step 4: Simplify right side
    31,646.30x = 764,184,505.82
  5. Step 5: Solve for x
    x = 764,184,505.82/31,646.30
  6. Step 6: Final answer
    x = 24,147.67

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