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Finding the Fourth Proportional to 75,816.84, 113,744.70 and 29,073.36

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Solution

The fourth proportional to 75,816.84, 113,744.70 and 29,073.36 is: 43,617.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,816.84 : 113,744.70 = 29,073.36 : x
  2. Step 2: Convert to fraction form
    75,816.84/113,744.70 = 29,073.36/x
  3. Step 3: Cross multiply
    75,816.84x = 113,744.70 × 29,073.36
  4. Step 4: Simplify right side
    75,816.84x = 3,306,940,611.19
  5. Step 5: Solve for x
    x = 3,306,940,611.19/75,816.84
  6. Step 6: Final answer
    x = 43,617.49

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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.