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Finding the Fourth Proportional to 75,703.86, 113,507.19 and 33,596.82

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Solution

The fourth proportional to 75,703.86, 113,507.19 and 33,596.82 is: 50,373.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,703.86 : 113,507.19 = 33,596.82 : x
  2. Step 2: Convert to fraction form
    75,703.86/113,507.19 = 33,596.82/x
  3. Step 3: Cross multiply
    75,703.86x = 113,507.19 × 33,596.82
  4. Step 4: Simplify right side
    75,703.86x = 3,813,480,631.14
  5. Step 5: Solve for x
    x = 3,813,480,631.14/75,703.86
  6. Step 6: Final answer
    x = 50,373.66

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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.