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Finding the Fourth Proportional to 101,862.87, 152,795.07 and 38,665.96

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Solution

The fourth proportional to 101,862.87, 152,795.07 and 38,665.96 is: 57,999.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,862.87 : 152,795.07 = 38,665.96 : x
  2. Step 2: Convert to fraction form
    101,862.87/152,795.07 = 38,665.96/x
  3. Step 3: Cross multiply
    101,862.87x = 152,795.07 × 38,665.96
  4. Step 4: Simplify right side
    101,862.87x = 5,907,967,107.51
  5. Step 5: Solve for x
    x = 5,907,967,107.51/101,862.87
  6. Step 6: Final answer
    x = 57,999.22

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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.