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Finding the Fourth Proportional to 105,170.59, 157,662.33 and 38,595.48

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Solution

The fourth proportional to 105,170.59, 157,662.33 and 38,595.48 is: 57,858.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,170.59 : 157,662.33 = 38,595.48 : x
  2. Step 2: Convert to fraction form
    105,170.59/157,662.33 = 38,595.48/x
  3. Step 3: Cross multiply
    105,170.59x = 157,662.33 × 38,595.48
  4. Step 4: Simplify right side
    105,170.59x = 6,085,053,304.27
  5. Step 5: Solve for x
    x = 6,085,053,304.27/105,170.59
  6. Step 6: Final answer
    x = 57,858.89

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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.