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Finding the Fourth Proportional to 105,889.81, 158,788.08 and 49,745.87

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Solution

The fourth proportional to 105,889.81, 158,788.08 and 49,745.87 is: 74,596.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,889.81 : 158,788.08 = 49,745.87 : x
  2. Step 2: Convert to fraction form
    105,889.81/158,788.08 = 49,745.87/x
  3. Step 3: Cross multiply
    105,889.81x = 158,788.08 × 49,745.87
  4. Step 4: Simplify right side
    105,889.81x = 7,899,051,185.23
  5. Step 5: Solve for x
    x = 7,899,051,185.23/105,889.81
  6. Step 6: Final answer
    x = 74,596.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.