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Finding the Fourth Proportional to 106,451.69, 159,703.19 and 39,892.41

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Solution

The fourth proportional to 106,451.69, 159,703.19 and 39,892.41 is: 59,848.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,451.69 : 159,703.19 = 39,892.41 : x
  2. Step 2: Convert to fraction form
    106,451.69/159,703.19 = 39,892.41/x
  3. Step 3: Cross multiply
    106,451.69x = 159,703.19 × 39,892.41
  4. Step 4: Simplify right side
    106,451.69x = 6,370,944,135.81
  5. Step 5: Solve for x
    x = 6,370,944,135.81/106,451.69
  6. Step 6: Final answer
    x = 59,848.22

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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.