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Finding the Fourth Proportional to 106,248.78, 159,390.06 and 35,174

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Solution

The fourth proportional to 106,248.78, 159,390.06 and 35,174 is: 52,766.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,248.78 : 159,390.06 = 35,174 : x
  2. Step 2: Convert to fraction form
    106,248.78/159,390.06 = 35,174/x
  3. Step 3: Cross multiply
    106,248.78x = 159,390.06 × 35,174
  4. Step 4: Simplify right side
    106,248.78x = 5,606,385,970.44
  5. Step 5: Solve for x
    x = 5,606,385,970.44/106,248.78
  6. Step 6: Final answer
    x = 52,766.59

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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.