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Finding the Fourth Proportional to 106,118.66, 159,123.22 and 31,229.08

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Solution

The fourth proportional to 106,118.66, 159,123.22 and 31,229.08 is: 46,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,118.66 : 159,123.22 = 31,229.08 : x
  2. Step 2: Convert to fraction form
    106,118.66/159,123.22 = 31,229.08/x
  3. Step 3: Cross multiply
    106,118.66x = 159,123.22 × 31,229.08
  4. Step 4: Simplify right side
    106,118.66x = 4,969,271,767.24
  5. Step 5: Solve for x
    x = 4,969,271,767.24/106,118.66
  6. Step 6: Final answer
    x = 46,827.50

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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.