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Finding the Fourth Proportional to 106,222, 159,333 and 32,350

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Solution

The fourth proportional to 106,222, 159,333 and 32,350 is: 48,525

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,222 : 159,333 = 32,350 : x
  2. Step 2: Convert to fraction form
    106,222/159,333 = 32,350/x
  3. Step 3: Cross multiply
    106,222x = 159,333 × 32,350
  4. Step 4: Simplify right side
    106,222x = 5,154,422,550
  5. Step 5: Solve for x
    x = 5,154,422,550/106,222
  6. Step 6: Final answer
    x = 48,525

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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.