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Finding the Fourth Proportional to 106,021.72, 159,013.02 and 42,838.36

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Solution

The fourth proportional to 106,021.72, 159,013.02 and 42,838.36 is: 64,249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,021.72 : 159,013.02 = 42,838.36 : x
  2. Step 2: Convert to fraction form
    106,021.72/159,013.02 = 42,838.36/x
  3. Step 3: Cross multiply
    106,021.72x = 159,013.02 × 42,838.36
  4. Step 4: Simplify right side
    106,021.72x = 6,811,856,995.45
  5. Step 5: Solve for x
    x = 6,811,856,995.45/106,021.72
  6. Step 6: Final answer
    x = 64,249.64

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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.