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Finding the Fourth Proportional to 35,692.65, 49,261.03 and 20,582.30

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Solution

The fourth proportional to 35,692.65, 49,261.03 and 20,582.30 is: 28,406.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,692.65 : 49,261.03 = 20,582.30 : x
  2. Step 2: Convert to fraction form
    35,692.65/49,261.03 = 20,582.30/x
  3. Step 3: Cross multiply
    35,692.65x = 49,261.03 × 20,582.30
  4. Step 4: Simplify right side
    35,692.65x = 1,013,905,369.47
  5. Step 5: Solve for x
    x = 1,013,905,369.47/35,692.65
  6. Step 6: Final answer
    x = 28,406.56

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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.