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Finding the Fourth Proportional to 31,208.81, 43,065.93 and 17,777.59

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Solution

The fourth proportional to 31,208.81, 43,065.93 and 17,777.59 is: 24,531.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,208.81 : 43,065.93 = 17,777.59 : x
  2. Step 2: Convert to fraction form
    31,208.81/43,065.93 = 17,777.59/x
  3. Step 3: Cross multiply
    31,208.81x = 43,065.93 × 17,777.59
  4. Step 4: Simplify right side
    31,208.81x = 765,608,405.51
  5. Step 5: Solve for x
    x = 765,608,405.51/31,208.81
  6. Step 6: Final answer
    x = 24,531.81

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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.