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Finding the Fourth Proportional to 106,525.35, 159,781.75 and 39,959.90

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Solution

The fourth proportional to 106,525.35, 159,781.75 and 39,959.90 is: 59,937.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,525.35 : 159,781.75 = 39,959.90 : x
  2. Step 2: Convert to fraction form
    106,525.35/159,781.75 = 39,959.90/x
  3. Step 3: Cross multiply
    106,525.35x = 159,781.75 × 39,959.90
  4. Step 4: Simplify right side
    106,525.35x = 6,384,862,751.83
  5. Step 5: Solve for x
    x = 6,384,862,751.83/106,525.35
  6. Step 6: Final answer
    x = 59,937.50

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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.