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Finding the Fourth Proportional to 30,842.69, 42,562.55 and 17,414.51

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Solution

The fourth proportional to 30,842.69, 42,562.55 and 17,414.51 is: 24,031.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842.69 : 42,562.55 = 17,414.51 : x
  2. Step 2: Convert to fraction form
    30,842.69/42,562.55 = 17,414.51/x
  3. Step 3: Cross multiply
    30,842.69x = 42,562.55 × 17,414.51
  4. Step 4: Simplify right side
    30,842.69x = 741,205,652.72
  5. Step 5: Solve for x
    x = 741,205,652.72/30,842.69
  6. Step 6: Final answer
    x = 24,031.81

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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.