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Finding the Fourth Proportional to 35,785.31, 49,406.49 and 24,473.66

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Solution

The fourth proportional to 35,785.31, 49,406.49 and 24,473.66 is: 33,789.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,785.31 : 49,406.49 = 24,473.66 : x
  2. Step 2: Convert to fraction form
    35,785.31/49,406.49 = 24,473.66/x
  3. Step 3: Cross multiply
    35,785.31x = 49,406.49 × 24,473.66
  4. Step 4: Simplify right side
    35,785.31x = 1,209,157,391.02
  5. Step 5: Solve for x
    x = 1,209,157,391.02/35,785.31
  6. Step 6: Final answer
    x = 33,789.22

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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.