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Finding the Fourth Proportional to 24,692.03, 37,041.89 and 8,048.20

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Solution

The fourth proportional to 24,692.03, 37,041.89 and 8,048.20 is: 12,073.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,692.03 : 37,041.89 = 8,048.20 : x
  2. Step 2: Convert to fraction form
    24,692.03/37,041.89 = 8,048.20/x
  3. Step 3: Cross multiply
    24,692.03x = 37,041.89 × 8,048.20
  4. Step 4: Simplify right side
    24,692.03x = 298,120,539.10
  5. Step 5: Solve for x
    x = 298,120,539.10/24,692.03
  6. Step 6: Final answer
    x = 12,073.55

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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.