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Finding the Fourth Proportional to 50,202.66, 75,279.74 and 29,148

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Solution

The fourth proportional to 50,202.66, 75,279.74 and 29,148 is: 43,707.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,202.66 : 75,279.74 = 29,148 : x
  2. Step 2: Convert to fraction form
    50,202.66/75,279.74 = 29,148/x
  3. Step 3: Cross multiply
    50,202.66x = 75,279.74 × 29,148
  4. Step 4: Simplify right side
    50,202.66x = 2,194,253,861.52
  5. Step 5: Solve for x
    x = 2,194,253,861.52/50,202.66
  6. Step 6: Final answer
    x = 43,707.92

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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.