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Finding the Fourth Proportional to 32,884.98, 49,315.02 and 10,692.36

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Solution

The fourth proportional to 32,884.98, 49,315.02 and 10,692.36 is: 16,034.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,884.98 : 49,315.02 = 10,692.36 : x
  2. Step 2: Convert to fraction form
    32,884.98/49,315.02 = 10,692.36/x
  3. Step 3: Cross multiply
    32,884.98x = 49,315.02 × 10,692.36
  4. Step 4: Simplify right side
    32,884.98x = 527,293,947.25
  5. Step 5: Solve for x
    x = 527,293,947.25/32,884.98
  6. Step 6: Final answer
    x = 16,034.49

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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.