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Finding the Fourth Proportional to 37,468.80, 56,203.20 and 14,092.20

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Solution

The fourth proportional to 37,468.80, 56,203.20 and 14,092.20 is: 21,138.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,468.80 : 56,203.20 = 14,092.20 : x
  2. Step 2: Convert to fraction form
    37,468.80/56,203.20 = 14,092.20/x
  3. Step 3: Cross multiply
    37,468.80x = 56,203.20 × 14,092.20
  4. Step 4: Simplify right side
    37,468.80x = 792,026,735.04
  5. Step 5: Solve for x
    x = 792,026,735.04/37,468.80
  6. Step 6: Final answer
    x = 21,138.30

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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.