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Finding the Fourth Proportional to 35,692.32, 49,251.42 and 19,772.80

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Solution

The fourth proportional to 35,692.32, 49,251.42 and 19,772.80 is: 27,284.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,692.32 : 49,251.42 = 19,772.80 : x
  2. Step 2: Convert to fraction form
    35,692.32/49,251.42 = 19,772.80/x
  3. Step 3: Cross multiply
    35,692.32x = 49,251.42 × 19,772.80
  4. Step 4: Simplify right side
    35,692.32x = 973,838,477.38
  5. Step 5: Solve for x
    x = 973,838,477.38/35,692.32
  6. Step 6: Final answer
    x = 27,284.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.