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Finding the Fourth Proportional to 101,611.26, 152,375.18 and 30,509.06

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Solution

The fourth proportional to 101,611.26, 152,375.18 and 30,509.06 is: 45,751.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,611.26 : 152,375.18 = 30,509.06 : x
  2. Step 2: Convert to fraction form
    101,611.26/152,375.18 = 30,509.06/x
  3. Step 3: Cross multiply
    101,611.26x = 152,375.18 × 30,509.06
  4. Step 4: Simplify right side
    101,611.26x = 4,648,822,594.71
  5. Step 5: Solve for x
    x = 4,648,822,594.71/101,611.26
  6. Step 6: Final answer
    x = 45,751.06

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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.