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Finding the Fourth Proportional to 77,262.18, 115,942.03 and 32,888.87

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Solution

The fourth proportional to 77,262.18, 115,942.03 and 32,888.87 is: 49,354.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,262.18 : 115,942.03 = 32,888.87 : x
  2. Step 2: Convert to fraction form
    77,262.18/115,942.03 = 32,888.87/x
  3. Step 3: Cross multiply
    77,262.18x = 115,942.03 × 32,888.87
  4. Step 4: Simplify right side
    77,262.18x = 3,813,202,352.21
  5. Step 5: Solve for x
    x = 3,813,202,352.21/77,262.18
  6. Step 6: Final answer
    x = 49,354.06

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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.