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Finding the Fourth Proportional to 72,094.25, 108,144.36 and 24,741.89

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Solution

The fourth proportional to 72,094.25, 108,144.36 and 24,741.89 is: 37,113.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,094.25 : 108,144.36 = 24,741.89 : x
  2. Step 2: Convert to fraction form
    72,094.25/108,144.36 = 24,741.89/x
  3. Step 3: Cross multiply
    72,094.25x = 108,144.36 × 24,741.89
  4. Step 4: Simplify right side
    72,094.25x = 2,675,695,859.24
  5. Step 5: Solve for x
    x = 2,675,695,859.24/72,094.25
  6. Step 6: Final answer
    x = 37,113.86

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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.