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Finding the Fourth Proportional to 106,462.60, 159,727.60 and 31,583.04

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Solution

The fourth proportional to 106,462.60, 159,727.60 and 31,583.04 is: 47,384.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,462.60 : 159,727.60 = 31,583.04 : x
  2. Step 2: Convert to fraction form
    106,462.60/159,727.60 = 31,583.04/x
  3. Step 3: Cross multiply
    106,462.60x = 159,727.60 × 31,583.04
  4. Step 4: Simplify right side
    106,462.60x = 5,044,683,179.90
  5. Step 5: Solve for x
    x = 5,044,683,179.90/106,462.60
  6. Step 6: Final answer
    x = 47,384.56

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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.