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Finding the Fourth Proportional to 85,909.15, 128,832.82 and 29,734

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Solution

The fourth proportional to 85,909.15, 128,832.82 and 29,734 is: 44,590.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,909.15 : 128,832.82 = 29,734 : x
  2. Step 2: Convert to fraction form
    85,909.15/128,832.82 = 29,734/x
  3. Step 3: Cross multiply
    85,909.15x = 128,832.82 × 29,734
  4. Step 4: Simplify right side
    85,909.15x = 3,830,715,069.88
  5. Step 5: Solve for x
    x = 3,830,715,069.88/85,909.15
  6. Step 6: Final answer
    x = 44,590.30

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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.