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Finding the Fourth Proportional to 58,364, 80,542.32 and 36,020.96

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Solution

The fourth proportional to 58,364, 80,542.32 and 36,020.96 is: 49,708.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,364 : 80,542.32 = 36,020.96 : x
  2. Step 2: Convert to fraction form
    58,364/80,542.32 = 36,020.96/x
  3. Step 3: Cross multiply
    58,364x = 80,542.32 × 36,020.96
  4. Step 4: Simplify right side
    58,364x = 2,901,211,687.03
  5. Step 5: Solve for x
    x = 2,901,211,687.03/58,364
  6. Step 6: Final answer
    x = 49,708.92

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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.