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Finding the Fourth Proportional to 105,169.59, 157,660.83 and 38,594.48

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Solution

The fourth proportional to 105,169.59, 157,660.83 and 38,594.48 is: 57,857.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,169.59 : 157,660.83 = 38,594.48 : x
  2. Step 2: Convert to fraction form
    105,169.59/157,660.83 = 38,594.48/x
  3. Step 3: Cross multiply
    105,169.59x = 157,660.83 × 38,594.48
  4. Step 4: Simplify right side
    105,169.59x = 6,084,836,961.91
  5. Step 5: Solve for x
    x = 6,084,836,961.91/105,169.59
  6. Step 6: Final answer
    x = 57,857.38

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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.