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Finding the Fourth Proportional to 24,692.82, 37,043.37 and 8,048.10

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Solution

The fourth proportional to 24,692.82, 37,043.37 and 8,048.10 is: 12,073.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,692.82 : 37,043.37 = 8,048.10 : x
  2. Step 2: Convert to fraction form
    24,692.82/37,043.37 = 8,048.10/x
  3. Step 3: Cross multiply
    24,692.82x = 37,043.37 × 8,048.10
  4. Step 4: Simplify right side
    24,692.82x = 298,128,746.10
  5. Step 5: Solve for x
    x = 298,128,746.10/24,692.82
  6. Step 6: Final answer
    x = 12,073.50

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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.