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Finding the Fourth Proportional to 47,380.49, 65,398.13 and 29,464.86

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Solution

The fourth proportional to 47,380.49, 65,398.13 and 29,464.86 is: 40,669.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,380.49 : 65,398.13 = 29,464.86 : x
  2. Step 2: Convert to fraction form
    47,380.49/65,398.13 = 29,464.86/x
  3. Step 3: Cross multiply
    47,380.49x = 65,398.13 × 29,464.86
  4. Step 4: Simplify right side
    47,380.49x = 1,926,947,118.86
  5. Step 5: Solve for x
    x = 1,926,947,118.86/47,380.49
  6. Step 6: Final answer
    x = 40,669.63

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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.