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Finding the Fourth Proportional to 58,182.50, 80,299.38 and 35,516.74

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Solution

The fourth proportional to 58,182.50, 80,299.38 and 35,516.74 is: 49,017.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,182.50 : 80,299.38 = 35,516.74 : x
  2. Step 2: Convert to fraction form
    58,182.50/80,299.38 = 35,516.74/x
  3. Step 3: Cross multiply
    58,182.50x = 80,299.38 × 35,516.74
  4. Step 4: Simplify right side
    58,182.50x = 2,851,972,201.62
  5. Step 5: Solve for x
    x = 2,851,972,201.62/58,182.50
  6. Step 6: Final answer
    x = 49,017.70

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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.