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Finding the Fourth Proportional to 31,259.76, 46,879.84 and 9,074.67

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Solution

The fourth proportional to 31,259.76, 46,879.84 and 9,074.67 is: 13,609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,259.76 : 46,879.84 = 9,074.67 : x
  2. Step 2: Convert to fraction form
    31,259.76/46,879.84 = 9,074.67/x
  3. Step 3: Cross multiply
    31,259.76x = 46,879.84 × 9,074.67
  4. Step 4: Simplify right side
    31,259.76x = 425,419,077.65
  5. Step 5: Solve for x
    x = 425,419,077.65/31,259.76
  6. Step 6: Final answer
    x = 13,609.16

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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.