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Finding the Fourth Proportional to 40,796.48, 56,300 and 22,892.78

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Solution

The fourth proportional to 40,796.48, 56,300 and 22,892.78 is: 31,592.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,796.48 : 56,300 = 22,892.78 : x
  2. Step 2: Convert to fraction form
    40,796.48/56,300 = 22,892.78/x
  3. Step 3: Cross multiply
    40,796.48x = 56,300 × 22,892.78
  4. Step 4: Simplify right side
    40,796.48x = 1,288,863,514
  5. Step 5: Solve for x
    x = 1,288,863,514/40,796.48
  6. Step 6: Final answer
    x = 31,592.52

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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.