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Finding the Fourth Proportional to 35,692.17, 49,261.30 and 20,582.13

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Solution

The fourth proportional to 35,692.17, 49,261.30 and 20,582.13 is: 28,406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,692.17 : 49,261.30 = 20,582.13 : x
  2. Step 2: Convert to fraction form
    35,692.17/49,261.30 = 20,582.13/x
  3. Step 3: Cross multiply
    35,692.17x = 49,261.30 × 20,582.13
  4. Step 4: Simplify right side
    35,692.17x = 1,013,902,377.66
  5. Step 5: Solve for x
    x = 1,013,902,377.66/35,692.17
  6. Step 6: Final answer
    x = 28,406.86

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