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Finding the Fourth Proportional to 72,094.29, 108,144.40 and 24,741.91

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Solution

The fourth proportional to 72,094.29, 108,144.40 and 24,741.91 is: 37,113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,094.29 : 108,144.40 = 24,741.91 : x
  2. Step 2: Convert to fraction form
    72,094.29/108,144.40 = 24,741.91/x
  3. Step 3: Cross multiply
    72,094.29x = 108,144.40 × 24,741.91
  4. Step 4: Simplify right side
    72,094.29x = 2,675,699,011.80
  5. Step 5: Solve for x
    x = 2,675,699,011.80/72,094.29
  6. Step 6: Final answer
    x = 37,113.88

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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.