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Finding the Fourth Proportional to 31,045.74, 46,542.62 and 12,314.08

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Solution

The fourth proportional to 31,045.74, 46,542.62 and 12,314.08 is: 18,460.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,045.74 : 46,542.62 = 12,314.08 : x
  2. Step 2: Convert to fraction form
    31,045.74/46,542.62 = 12,314.08/x
  3. Step 3: Cross multiply
    31,045.74x = 46,542.62 × 12,314.08
  4. Step 4: Simplify right side
    31,045.74x = 573,129,546.09
  5. Step 5: Solve for x
    x = 573,129,546.09/31,045.74
  6. Step 6: Final answer
    x = 18,460.81

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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.