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Finding the Fourth Proportional to 106,578.51, 159,838.60 and 40,013.52

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Solution

The fourth proportional to 106,578.51, 159,838.60 and 40,013.52 is: 60,009.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,578.51 : 159,838.60 = 40,013.52 : x
  2. Step 2: Convert to fraction form
    106,578.51/159,838.60 = 40,013.52/x
  3. Step 3: Cross multiply
    106,578.51x = 159,838.60 × 40,013.52
  4. Step 4: Simplify right side
    106,578.51x = 6,395,705,017.87
  5. Step 5: Solve for x
    x = 6,395,705,017.87/106,578.51
  6. Step 6: Final answer
    x = 60,009.33

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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.