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Finding the Fourth Proportional to 106,064.71, 159,055.38 and 38,580.71

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Solution

The fourth proportional to 106,064.71, 159,055.38 and 38,580.71 is: 57,855.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,064.71 : 159,055.38 = 38,580.71 : x
  2. Step 2: Convert to fraction form
    106,064.71/159,055.38 = 38,580.71/x
  3. Step 3: Cross multiply
    106,064.71x = 159,055.38 × 38,580.71
  4. Step 4: Simplify right side
    106,064.71x = 6,136,468,694.44
  5. Step 5: Solve for x
    x = 6,136,468,694.44/106,064.71
  6. Step 6: Final answer
    x = 57,855.90

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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.