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Finding the Fourth Proportional to 123,692.90, 185,551.49 and 34,947.09

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Solution

The fourth proportional to 123,692.90, 185,551.49 and 34,947.09 is: 52,424.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,692.90 : 185,551.49 = 34,947.09 : x
  2. Step 2: Convert to fraction form
    123,692.90/185,551.49 = 34,947.09/x
  3. Step 3: Cross multiply
    123,692.90x = 185,551.49 × 34,947.09
  4. Step 4: Simplify right side
    123,692.90x = 6,484,484,708.03
  5. Step 5: Solve for x
    x = 6,484,484,708.03/123,692.90
  6. Step 6: Final answer
    x = 52,424.07

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Why These Related Problems?

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