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Finding the Fourth Proportional to 73,283, 109,919.38 and 38,242.36

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Solution

The fourth proportional to 73,283, 109,919.38 and 38,242.36 is: 57,360.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,283 : 109,919.38 = 38,242.36 : x
  2. Step 2: Convert to fraction form
    73,283/109,919.38 = 38,242.36/x
  3. Step 3: Cross multiply
    73,283x = 109,919.38 × 38,242.36
  4. Step 4: Simplify right side
    73,283x = 4,203,576,500.94
  5. Step 5: Solve for x
    x = 4,203,576,500.94/73,283
  6. Step 6: Final answer
    x = 57,360.87

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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.