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Finding the Fourth Proportional to 75,744.40, 113,616.12 and 23,153.68

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Solution

The fourth proportional to 75,744.40, 113,616.12 and 23,153.68 is: 34,730.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,744.40 : 113,616.12 = 23,153.68 : x
  2. Step 2: Convert to fraction form
    75,744.40/113,616.12 = 23,153.68/x
  3. Step 3: Cross multiply
    75,744.40x = 113,616.12 × 23,153.68
  4. Step 4: Simplify right side
    75,744.40x = 2,630,631,285.32
  5. Step 5: Solve for x
    x = 2,630,631,285.32/75,744.40
  6. Step 6: Final answer
    x = 34,730.37

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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.