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Finding the Fourth Proportional to 31,800.12, 43,879.50 and 17,653.08

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Solution

The fourth proportional to 31,800.12, 43,879.50 and 17,653.08 is: 24,358.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,800.12 : 43,879.50 = 17,653.08 : x
  2. Step 2: Convert to fraction form
    31,800.12/43,879.50 = 17,653.08/x
  3. Step 3: Cross multiply
    31,800.12x = 43,879.50 × 17,653.08
  4. Step 4: Simplify right side
    31,800.12x = 774,608,323.86
  5. Step 5: Solve for x
    x = 774,608,323.86/31,800.12
  6. Step 6: Final answer
    x = 24,358.66

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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.