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Finding the Fourth Proportional to 30,801.82, 42,513.10 and 19,464.10

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Solution

The fourth proportional to 30,801.82, 42,513.10 and 19,464.10 is: 26,864.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,801.82 : 42,513.10 = 19,464.10 : x
  2. Step 2: Convert to fraction form
    30,801.82/42,513.10 = 19,464.10/x
  3. Step 3: Cross multiply
    30,801.82x = 42,513.10 × 19,464.10
  4. Step 4: Simplify right side
    30,801.82x = 827,479,229.71
  5. Step 5: Solve for x
    x = 827,479,229.71/30,801.82
  6. Step 6: Final answer
    x = 26,864.62

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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.