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Finding the Fourth Proportional to 105,794.88, 158,614.56 and 50,429.76

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Solution

The fourth proportional to 105,794.88, 158,614.56 and 50,429.76 is: 75,607.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,794.88 : 158,614.56 = 50,429.76 : x
  2. Step 2: Convert to fraction form
    105,794.88/158,614.56 = 50,429.76/x
  3. Step 3: Cross multiply
    105,794.88x = 158,614.56 × 50,429.76
  4. Step 4: Simplify right side
    105,794.88x = 7,998,894,193.31
  5. Step 5: Solve for x
    x = 7,998,894,193.31/105,794.88
  6. Step 6: Final answer
    x = 75,607.57

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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.