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Finding the Fourth Proportional to 33,146.31, 49,652.95 and 16,455.86

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Solution

The fourth proportional to 33,146.31, 49,652.95 and 16,455.86 is: 24,650.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,146.31 : 49,652.95 = 16,455.86 : x
  2. Step 2: Convert to fraction form
    33,146.31/49,652.95 = 16,455.86/x
  3. Step 3: Cross multiply
    33,146.31x = 49,652.95 × 16,455.86
  4. Step 4: Simplify right side
    33,146.31x = 817,081,993.79
  5. Step 5: Solve for x
    x = 817,081,993.79/33,146.31
  6. Step 6: Final answer
    x = 24,650.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.