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Finding the Fourth Proportional to 72,094.75, 108,145.11 and 24,742.39

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Solution

The fourth proportional to 72,094.75, 108,145.11 and 24,742.39 is: 37,114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,094.75 : 108,145.11 = 24,742.39 : x
  2. Step 2: Convert to fraction form
    72,094.75/108,145.11 = 24,742.39/x
  3. Step 3: Cross multiply
    72,094.75x = 108,145.11 × 24,742.39
  4. Step 4: Simplify right side
    72,094.75x = 2,675,768,488.21
  5. Step 5: Solve for x
    x = 2,675,768,488.21/72,094.75
  6. Step 6: Final answer
    x = 37,114.61

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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.