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Finding the Fourth Proportional to 42,682.78, 64,022.54 and 11,518.84

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Solution

The fourth proportional to 42,682.78, 64,022.54 and 11,518.84 is: 17,277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,682.78 : 64,022.54 = 11,518.84 : x
  2. Step 2: Convert to fraction form
    42,682.78/64,022.54 = 11,518.84/x
  3. Step 3: Cross multiply
    42,682.78x = 64,022.54 × 11,518.84
  4. Step 4: Simplify right side
    42,682.78x = 737,465,394.65
  5. Step 5: Solve for x
    x = 737,465,394.65/42,682.78
  6. Step 6: Final answer
    x = 17,277.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.