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Finding the Fourth Proportional to 106,356.97, 159,479.02 and 31,466.80

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Solution

The fourth proportional to 106,356.97, 159,479.02 and 31,466.80 is: 47,183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,356.97 : 159,479.02 = 31,466.80 : x
  2. Step 2: Convert to fraction form
    106,356.97/159,479.02 = 31,466.80/x
  3. Step 3: Cross multiply
    106,356.97x = 159,479.02 × 31,466.80
  4. Step 4: Simplify right side
    106,356.97x = 5,018,293,471.81
  5. Step 5: Solve for x
    x = 5,018,293,471.81/106,356.97
  6. Step 6: Final answer
    x = 47,183.50

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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.