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Finding the Fourth Proportional to 42,549, 63,823.50 and 11,383.44

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Solution

The fourth proportional to 42,549, 63,823.50 and 11,383.44 is: 17,075.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,549 : 63,823.50 = 11,383.44 : x
  2. Step 2: Convert to fraction form
    42,549/63,823.50 = 11,383.44/x
  3. Step 3: Cross multiply
    42,549x = 63,823.50 × 11,383.44
  4. Step 4: Simplify right side
    42,549x = 726,530,982.84
  5. Step 5: Solve for x
    x = 726,530,982.84/42,549
  6. Step 6: Final answer
    x = 17,075.16

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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.