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Finding the Fourth Proportional to 103,144.48, 154,691.52 and 33,009.28

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Solution

The fourth proportional to 103,144.48, 154,691.52 and 33,009.28 is: 49,505.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,144.48 : 154,691.52 = 33,009.28 : x
  2. Step 2: Convert to fraction form
    103,144.48/154,691.52 = 33,009.28/x
  3. Step 3: Cross multiply
    103,144.48x = 154,691.52 × 33,009.28
  4. Step 4: Simplify right side
    103,144.48x = 5,106,255,697.31
  5. Step 5: Solve for x
    x = 5,106,255,697.31/103,144.48
  6. Step 6: Final answer
    x = 49,505.86

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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.