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Finding the Fourth Proportional to 75,692.51, 113,584.12 and 31,319.87

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Solution

The fourth proportional to 75,692.51, 113,584.12 and 31,319.87 is: 46,998.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,692.51 : 113,584.12 = 31,319.87 : x
  2. Step 2: Convert to fraction form
    75,692.51/113,584.12 = 31,319.87/x
  3. Step 3: Cross multiply
    75,692.51x = 113,584.12 × 31,319.87
  4. Step 4: Simplify right side
    75,692.51x = 3,557,439,304.54
  5. Step 5: Solve for x
    x = 3,557,439,304.54/75,692.51
  6. Step 6: Final answer
    x = 46,998.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.