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Finding the Fourth Proportional to 31,212.93, 43,074 and 17,065.80

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Solution

The fourth proportional to 31,212.93, 43,074 and 17,065.80 is: 23,550.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,212.93 : 43,074 = 17,065.80 : x
  2. Step 2: Convert to fraction form
    31,212.93/43,074 = 17,065.80/x
  3. Step 3: Cross multiply
    31,212.93x = 43,074 × 17,065.80
  4. Step 4: Simplify right side
    31,212.93x = 735,092,269.20
  5. Step 5: Solve for x
    x = 735,092,269.20/31,212.93
  6. Step 6: Final answer
    x = 23,550.89

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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.