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Finding the Fourth Proportional to 58,252.50, 80,388.48 and 33,102

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Solution

The fourth proportional to 58,252.50, 80,388.48 and 33,102 is: 45,680.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,252.50 : 80,388.48 = 33,102 : x
  2. Step 2: Convert to fraction form
    58,252.50/80,388.48 = 33,102/x
  3. Step 3: Cross multiply
    58,252.50x = 80,388.48 × 33,102
  4. Step 4: Simplify right side
    58,252.50x = 2,661,019,464.96
  5. Step 5: Solve for x
    x = 2,661,019,464.96/58,252.50
  6. Step 6: Final answer
    x = 45,680.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.