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Finding the Fourth Proportional to 106,397.70, 159,602.04 and 27,512.61

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Solution

The fourth proportional to 106,397.70, 159,602.04 and 27,512.61 is: 41,270.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,397.70 : 159,602.04 = 27,512.61 : x
  2. Step 2: Convert to fraction form
    106,397.70/159,602.04 = 27,512.61/x
  3. Step 3: Cross multiply
    106,397.70x = 159,602.04 × 27,512.61
  4. Step 4: Simplify right side
    106,397.70x = 4,391,068,681.72
  5. Step 5: Solve for x
    x = 4,391,068,681.72/106,397.70
  6. Step 6: Final answer
    x = 41,270.33

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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.