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Finding the Fourth Proportional to 75,709.50, 113,582.16 and 23,115.66

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Solution

The fourth proportional to 75,709.50, 113,582.16 and 23,115.66 is: 34,678.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,709.50 : 113,582.16 = 23,115.66 : x
  2. Step 2: Convert to fraction form
    75,709.50/113,582.16 = 23,115.66/x
  3. Step 3: Cross multiply
    75,709.50x = 113,582.16 × 23,115.66
  4. Step 4: Simplify right side
    75,709.50x = 2,625,526,592.63
  5. Step 5: Solve for x
    x = 2,625,526,592.63/75,709.50
  6. Step 6: Final answer
    x = 34,678.96

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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.