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Finding the Fourth Proportional to 75,743.71, 113,575.77 and 33,605.53

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Solution

The fourth proportional to 75,743.71, 113,575.77 and 33,605.53 is: 50,390.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,743.71 : 113,575.77 = 33,605.53 : x
  2. Step 2: Convert to fraction form
    75,743.71/113,575.77 = 33,605.53/x
  3. Step 3: Cross multiply
    75,743.71x = 113,575.77 × 33,605.53
  4. Step 4: Simplify right side
    75,743.71x = 3,816,774,300.93
  5. Step 5: Solve for x
    x = 3,816,774,300.93/75,743.71
  6. Step 6: Final answer
    x = 50,390.65

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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.