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Finding the Fourth Proportional to 106,042, 159,063 and 32,170

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Solution

The fourth proportional to 106,042, 159,063 and 32,170 is: 48,255

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,042 : 159,063 = 32,170 : x
  2. Step 2: Convert to fraction form
    106,042/159,063 = 32,170/x
  3. Step 3: Cross multiply
    106,042x = 159,063 × 32,170
  4. Step 4: Simplify right side
    106,042x = 5,117,056,710
  5. Step 5: Solve for x
    x = 5,117,056,710/106,042
  6. Step 6: Final answer
    x = 48,255

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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.