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Finding the Fourth Proportional to 29,692.80, 44,477.10 and 13,911.30

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Solution

The fourth proportional to 29,692.80, 44,477.10 and 13,911.30 is: 20,837.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,692.80 : 44,477.10 = 13,911.30 : x
  2. Step 2: Convert to fraction form
    29,692.80/44,477.10 = 13,911.30/x
  3. Step 3: Cross multiply
    29,692.80x = 44,477.10 × 13,911.30
  4. Step 4: Simplify right side
    29,692.80x = 618,734,281.23
  5. Step 5: Solve for x
    x = 618,734,281.23/29,692.80
  6. Step 6: Final answer
    x = 20,837.86

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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.