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Finding the Fourth Proportional to 106,157.74, 159,264.16 and 31,280.54

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Solution

The fourth proportional to 106,157.74, 159,264.16 and 31,280.54 is: 46,928.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,157.74 : 159,264.16 = 31,280.54 : x
  2. Step 2: Convert to fraction form
    106,157.74/159,264.16 = 31,280.54/x
  3. Step 3: Cross multiply
    106,157.74x = 159,264.16 × 31,280.54
  4. Step 4: Simplify right side
    106,157.74x = 4,981,868,927.45
  5. Step 5: Solve for x
    x = 4,981,868,927.45/106,157.74
  6. Step 6: Final answer
    x = 46,928.93

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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.