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Finding the Fourth Proportional to 31,036.77, 46,562.45 and 8,850.47

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Solution

The fourth proportional to 31,036.77, 46,562.45 and 8,850.47 is: 13,277.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,036.77 : 46,562.45 = 8,850.47 : x
  2. Step 2: Convert to fraction form
    31,036.77/46,562.45 = 8,850.47/x
  3. Step 3: Cross multiply
    31,036.77x = 46,562.45 × 8,850.47
  4. Step 4: Simplify right side
    31,036.77x = 412,099,289.79
  5. Step 5: Solve for x
    x = 412,099,289.79/31,036.77
  6. Step 6: Final answer
    x = 13,277.78

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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.