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Finding the Fourth Proportional to 107,053.38, 160,580.07 and 28,161

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Solution

The fourth proportional to 107,053.38, 160,580.07 and 28,161 is: 42,241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,053.38 : 160,580.07 = 28,161 : x
  2. Step 2: Convert to fraction form
    107,053.38/160,580.07 = 28,161/x
  3. Step 3: Cross multiply
    107,053.38x = 160,580.07 × 28,161
  4. Step 4: Simplify right side
    107,053.38x = 4,522,095,351.27
  5. Step 5: Solve for x
    x = 4,522,095,351.27/107,053.38
  6. Step 6: Final answer
    x = 42,241.50

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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.