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Finding the Fourth Proportional to 106,492.99, 159,725.64 and 31,611.61

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Solution

The fourth proportional to 106,492.99, 159,725.64 and 31,611.61 is: 47,413.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,492.99 : 159,725.64 = 31,611.61 : x
  2. Step 2: Convert to fraction form
    106,492.99/159,725.64 = 31,611.61/x
  3. Step 3: Cross multiply
    106,492.99x = 159,725.64 × 31,611.61
  4. Step 4: Simplify right side
    106,492.99x = 5,049,184,638.68
  5. Step 5: Solve for x
    x = 5,049,184,638.68/106,492.99
  6. Step 6: Final answer
    x = 47,413.31

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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.