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Finding the Fourth Proportional to 33,009.91, 49,518.70 and 11,959.86

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Solution

The fourth proportional to 33,009.91, 49,518.70 and 11,959.86 is: 17,941.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,009.91 : 49,518.70 = 11,959.86 : x
  2. Step 2: Convert to fraction form
    33,009.91/49,518.70 = 11,959.86/x
  3. Step 3: Cross multiply
    33,009.91x = 49,518.70 × 11,959.86
  4. Step 4: Simplify right side
    33,009.91x = 592,236,719.38
  5. Step 5: Solve for x
    x = 592,236,719.38/33,009.91
  6. Step 6: Final answer
    x = 17,941.18

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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.