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Finding the Fourth Proportional to 30,682.74, 42,341.97 and 17,434.74

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Solution

The fourth proportional to 30,682.74, 42,341.97 and 17,434.74 is: 24,059.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,682.74 : 42,341.97 = 17,434.74 : x
  2. Step 2: Convert to fraction form
    30,682.74/42,341.97 = 17,434.74/x
  3. Step 3: Cross multiply
    30,682.74x = 42,341.97 × 17,434.74
  4. Step 4: Simplify right side
    30,682.74x = 738,221,238.04
  5. Step 5: Solve for x
    x = 738,221,238.04/30,682.74
  6. Step 6: Final answer
    x = 24,059.82

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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.