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Finding the Fourth Proportional to 106,641.66, 159,839.46 and 40,039.31

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Solution

The fourth proportional to 106,641.66, 159,839.46 and 40,039.31 is: 60,012.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,641.66 : 159,839.46 = 40,039.31 : x
  2. Step 2: Convert to fraction form
    106,641.66/159,839.46 = 40,039.31/x
  3. Step 3: Cross multiply
    106,641.66x = 159,839.46 × 40,039.31
  4. Step 4: Simplify right side
    106,641.66x = 6,399,862,088.77
  5. Step 5: Solve for x
    x = 6,399,862,088.77/106,641.66
  6. Step 6: Final answer
    x = 60,012.77

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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.