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Finding the Fourth Proportional to 106,048, 159,072 and 32,176

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Solution

The fourth proportional to 106,048, 159,072 and 32,176 is: 48,264

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,048 : 159,072 = 32,176 : x
  2. Step 2: Convert to fraction form
    106,048/159,072 = 32,176/x
  3. Step 3: Cross multiply
    106,048x = 159,072 × 32,176
  4. Step 4: Simplify right side
    106,048x = 5,118,300,672
  5. Step 5: Solve for x
    x = 5,118,300,672/106,048
  6. Step 6: Final answer
    x = 48,264

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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.