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Finding the Fourth Proportional to 106,040, 159,060.96 and 32,168

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Solution

The fourth proportional to 106,040, 159,060.96 and 32,168 is: 48,252.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,040 : 159,060.96 = 32,168 : x
  2. Step 2: Convert to fraction form
    106,040/159,060.96 = 32,168/x
  3. Step 3: Cross multiply
    106,040x = 159,060.96 × 32,168
  4. Step 4: Simplify right side
    106,040x = 5,116,672,961.28
  5. Step 5: Solve for x
    x = 5,116,672,961.28/106,040
  6. Step 6: Final answer
    x = 48,252.29

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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.