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Finding the Fourth Proportional to 106,444.84, 159,623.34 and 36,329.80

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Solution

The fourth proportional to 106,444.84, 159,623.34 and 36,329.80 is: 54,479.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,444.84 : 159,623.34 = 36,329.80 : x
  2. Step 2: Convert to fraction form
    106,444.84/159,623.34 = 36,329.80/x
  3. Step 3: Cross multiply
    106,444.84x = 159,623.34 × 36,329.80
  4. Step 4: Simplify right side
    106,444.84x = 5,799,084,017.53
  5. Step 5: Solve for x
    x = 5,799,084,017.53/106,444.84
  6. Step 6: Final answer
    x = 54,479.71

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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.