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Finding the Fourth Proportional to 106,594.48, 159,809.52 and 40,033.16

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Solution

The fourth proportional to 106,594.48, 159,809.52 and 40,033.16 is: 60,018.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,594.48 : 159,809.52 = 40,033.16 : x
  2. Step 2: Convert to fraction form
    106,594.48/159,809.52 = 40,033.16/x
  3. Step 3: Cross multiply
    106,594.48x = 159,809.52 × 40,033.16
  4. Step 4: Simplify right side
    106,594.48x = 6,397,680,083.68
  5. Step 5: Solve for x
    x = 6,397,680,083.68/106,594.48
  6. Step 6: Final answer
    x = 60,018.87

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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.