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Finding the Fourth Proportional to 101,493.51, 152,258.97 and 34,018.96

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Solution

The fourth proportional to 101,493.51, 152,258.97 and 34,018.96 is: 51,034.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,493.51 : 152,258.97 = 34,018.96 : x
  2. Step 2: Convert to fraction form
    101,493.51/152,258.97 = 34,018.96/x
  3. Step 3: Cross multiply
    101,493.51x = 152,258.97 × 34,018.96
  4. Step 4: Simplify right side
    101,493.51x = 5,179,691,639.98
  5. Step 5: Solve for x
    x = 5,179,691,639.98/101,493.51
  6. Step 6: Final answer
    x = 51,034.71

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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.