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Finding the Fourth Proportional to 31,086.65, 46,620.25 and 13,538.81

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Solution

The fourth proportional to 31,086.65, 46,620.25 and 13,538.81 is: 20,303.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,086.65 : 46,620.25 = 13,538.81 : x
  2. Step 2: Convert to fraction form
    31,086.65/46,620.25 = 13,538.81/x
  3. Step 3: Cross multiply
    31,086.65x = 46,620.25 × 13,538.81
  4. Step 4: Simplify right side
    31,086.65x = 631,182,439.95
  5. Step 5: Solve for x
    x = 631,182,439.95/31,086.65
  6. Step 6: Final answer
    x = 20,303.97

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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.