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Finding the Fourth Proportional to 38,649.96, 53,327.34 and 24,497.64

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Solution

The fourth proportional to 38,649.96, 53,327.34 and 24,497.64 is: 33,800.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,649.96 : 53,327.34 = 24,497.64 : x
  2. Step 2: Convert to fraction form
    38,649.96/53,327.34 = 24,497.64/x
  3. Step 3: Cross multiply
    38,649.96x = 53,327.34 × 24,497.64
  4. Step 4: Simplify right side
    38,649.96x = 1,306,393,977.48
  5. Step 5: Solve for x
    x = 1,306,393,977.48/38,649.96
  6. Step 6: Final answer
    x = 33,800.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.