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Finding the Fourth Proportional to 106,448.96, 159,695.04 and 39,887.84

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Solution

The fourth proportional to 106,448.96, 159,695.04 and 39,887.84 is: 59,839.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,448.96 : 159,695.04 = 39,887.84 : x
  2. Step 2: Convert to fraction form
    106,448.96/159,695.04 = 39,887.84/x
  3. Step 3: Cross multiply
    106,448.96x = 159,695.04 × 39,887.84
  4. Step 4: Simplify right side
    106,448.96x = 6,369,890,204.31
  5. Step 5: Solve for x
    x = 6,369,890,204.31/106,448.96
  6. Step 6: Final answer
    x = 59,839.85

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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.