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Finding the Fourth Proportional to 111,745.94, 167,724.24 and 40,737.20

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Solution

The fourth proportional to 111,745.94, 167,724.24 and 40,737.20 is: 61,144.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,745.94 : 167,724.24 = 40,737.20 : x
  2. Step 2: Convert to fraction form
    111,745.94/167,724.24 = 40,737.20/x
  3. Step 3: Cross multiply
    111,745.94x = 167,724.24 × 40,737.20
  4. Step 4: Simplify right side
    111,745.94x = 6,832,615,071.11
  5. Step 5: Solve for x
    x = 6,832,615,071.11/111,745.94
  6. Step 6: Final answer
    x = 61,144.19

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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.