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Finding the Fourth Proportional to 123,145.44, 184,737.60 and 40,020

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Solution

The fourth proportional to 123,145.44, 184,737.60 and 40,020 is: 60,036.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,145.44 : 184,737.60 = 40,020 : x
  2. Step 2: Convert to fraction form
    123,145.44/184,737.60 = 40,020/x
  3. Step 3: Cross multiply
    123,145.44x = 184,737.60 × 40,020
  4. Step 4: Simplify right side
    123,145.44x = 7,393,198,752
  5. Step 5: Solve for x
    x = 7,393,198,752/123,145.44
  6. Step 6: Final answer
    x = 60,036.32

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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.