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Finding the Fourth Proportional to 106,611.86, 159,864.30 and 35,509.50

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Solution

The fourth proportional to 106,611.86, 159,864.30 and 35,509.50 is: 53,246.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,611.86 : 159,864.30 = 35,509.50 : x
  2. Step 2: Convert to fraction form
    106,611.86/159,864.30 = 35,509.50/x
  3. Step 3: Cross multiply
    106,611.86x = 159,864.30 × 35,509.50
  4. Step 4: Simplify right side
    106,611.86x = 5,676,701,735.46
  5. Step 5: Solve for x
    x = 5,676,701,735.46/106,611.86
  6. Step 6: Final answer
    x = 53,246.44

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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.