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Finding the Fourth Proportional to 36,580, 50,491.92 and 23,332

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Solution

The fourth proportional to 36,580, 50,491.92 and 23,332 is: 32,205.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,580 : 50,491.92 = 23,332 : x
  2. Step 2: Convert to fraction form
    36,580/50,491.92 = 23,332/x
  3. Step 3: Cross multiply
    36,580x = 50,491.92 × 23,332
  4. Step 4: Simplify right side
    36,580x = 1,178,077,477.44
  5. Step 5: Solve for x
    x = 1,178,077,477.44/36,580
  6. Step 6: Final answer
    x = 32,205.51

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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.