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Finding the Fourth Proportional to 100,071.85, 150,094.80 and 37,734.25

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Solution

The fourth proportional to 100,071.85, 150,094.80 and 37,734.25 is: 56,596.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,071.85 : 150,094.80 = 37,734.25 : x
  2. Step 2: Convert to fraction form
    100,071.85/150,094.80 = 37,734.25/x
  3. Step 3: Cross multiply
    100,071.85x = 150,094.80 × 37,734.25
  4. Step 4: Simplify right side
    100,071.85x = 5,663,714,706.90
  5. Step 5: Solve for x
    x = 5,663,714,706.90/100,071.85
  6. Step 6: Final answer
    x = 56,596.48

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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.