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Finding the Fourth Proportional to 105,009.30, 157,544.46 and 33,930.45

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Solution

The fourth proportional to 105,009.30, 157,544.46 and 33,930.45 is: 50,905.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,009.30 : 157,544.46 = 33,930.45 : x
  2. Step 2: Convert to fraction form
    105,009.30/157,544.46 = 33,930.45/x
  3. Step 3: Cross multiply
    105,009.30x = 157,544.46 × 33,930.45
  4. Step 4: Simplify right side
    105,009.30x = 5,345,554,422.81
  5. Step 5: Solve for x
    x = 5,345,554,422.81/105,009.30
  6. Step 6: Final answer
    x = 50,905.53

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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.