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Finding the Fourth Proportional to 102,500.36, 153,737.82 and 27,626.36

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Solution

The fourth proportional to 102,500.36, 153,737.82 and 27,626.36 is: 41,436.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,500.36 : 153,737.82 = 27,626.36 : x
  2. Step 2: Convert to fraction form
    102,500.36/153,737.82 = 27,626.36/x
  3. Step 3: Cross multiply
    102,500.36x = 153,737.82 × 27,626.36
  4. Step 4: Simplify right side
    102,500.36x = 4,247,216,360.94
  5. Step 5: Solve for x
    x = 4,247,216,360.94/102,500.36
  6. Step 6: Final answer
    x = 41,436.11

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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.