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Finding the Fourth Proportional to 30,822.30, 42,532.43 and 17,394.81

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Solution

The fourth proportional to 30,822.30, 42,532.43 and 17,394.81 is: 24,003.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,822.30 : 42,532.43 = 17,394.81 : x
  2. Step 2: Convert to fraction form
    30,822.30/42,532.43 = 17,394.81/x
  3. Step 3: Cross multiply
    30,822.30x = 42,532.43 × 17,394.81
  4. Step 4: Simplify right side
    30,822.30x = 739,843,455.29
  5. Step 5: Solve for x
    x = 739,843,455.29/30,822.30
  6. Step 6: Final answer
    x = 24,003.51

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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.