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Finding the Fourth Proportional to 106,537.76, 159,765.11 and 39,941.59

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Solution

The fourth proportional to 106,537.76, 159,765.11 and 39,941.59 is: 59,896.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,537.76 : 159,765.11 = 39,941.59 : x
  2. Step 2: Convert to fraction form
    106,537.76/159,765.11 = 39,941.59/x
  3. Step 3: Cross multiply
    106,537.76x = 159,765.11 × 39,941.59
  4. Step 4: Simplify right side
    106,537.76x = 6,381,271,521.39
  5. Step 5: Solve for x
    x = 6,381,271,521.39/106,537.76
  6. Step 6: Final answer
    x = 59,896.81

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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.