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Finding the Fourth Proportional to 31,234.93, 46,870.72 and 11,527.22

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Solution

The fourth proportional to 31,234.93, 46,870.72 and 11,527.22 is: 17,297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,234.93 : 46,870.72 = 11,527.22 : x
  2. Step 2: Convert to fraction form
    31,234.93/46,870.72 = 11,527.22/x
  3. Step 3: Cross multiply
    31,234.93x = 46,870.72 × 11,527.22
  4. Step 4: Simplify right side
    31,234.93x = 540,289,189.36
  5. Step 5: Solve for x
    x = 540,289,189.36/31,234.93
  6. Step 6: Final answer
    x = 17,297.60

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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.