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Finding the Fourth Proportional to 73,728, 101,747.04 and 40,196.16

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Solution

The fourth proportional to 73,728, 101,747.04 and 40,196.16 is: 55,472.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,728 : 101,747.04 = 40,196.16 : x
  2. Step 2: Convert to fraction form
    73,728/101,747.04 = 40,196.16/x
  3. Step 3: Cross multiply
    73,728x = 101,747.04 × 40,196.16
  4. Step 4: Simplify right side
    73,728x = 4,089,840,299.37
  5. Step 5: Solve for x
    x = 4,089,840,299.37/73,728
  6. Step 6: Final answer
    x = 55,472.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.