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Finding the Fourth Proportional to 54,692.90, 75,441.18 and 34,514.18

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Solution

The fourth proportional to 54,692.90, 75,441.18 and 34,514.18 is: 47,607.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,692.90 : 75,441.18 = 34,514.18 : x
  2. Step 2: Convert to fraction form
    54,692.90/75,441.18 = 34,514.18/x
  3. Step 3: Cross multiply
    54,692.90x = 75,441.18 × 34,514.18
  4. Step 4: Simplify right side
    54,692.90x = 2,603,790,465.93
  5. Step 5: Solve for x
    x = 2,603,790,465.93/54,692.90
  6. Step 6: Final answer
    x = 47,607.47

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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.