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Finding the Fourth Proportional to 32,959.44, 49,356 and 21,832.56

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Solution

The fourth proportional to 32,959.44, 49,356 and 21,832.56 is: 32,693.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,959.44 : 49,356 = 21,832.56 : x
  2. Step 2: Convert to fraction form
    32,959.44/49,356 = 21,832.56/x
  3. Step 3: Cross multiply
    32,959.44x = 49,356 × 21,832.56
  4. Step 4: Simplify right side
    32,959.44x = 1,077,567,831.36
  5. Step 5: Solve for x
    x = 1,077,567,831.36/32,959.44
  6. Step 6: Final answer
    x = 32,693.75

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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.