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Finding the Fourth Proportional to 75,737.70, 113,628.69 and 22,431.06

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Solution

The fourth proportional to 75,737.70, 113,628.69 and 22,431.06 is: 33,653.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,737.70 : 113,628.69 = 22,431.06 : x
  2. Step 2: Convert to fraction form
    75,737.70/113,628.69 = 22,431.06/x
  3. Step 3: Cross multiply
    75,737.70x = 113,628.69 × 22,431.06
  4. Step 4: Simplify right side
    75,737.70x = 2,548,811,963.11
  5. Step 5: Solve for x
    x = 2,548,811,963.11/75,737.70
  6. Step 6: Final answer
    x = 33,653.15

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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.