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Finding the Fourth Proportional to 117,009.70, 175,514.55 and 38,131.90

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Solution

The fourth proportional to 117,009.70, 175,514.55 and 38,131.90 is: 57,197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,009.70 : 175,514.55 = 38,131.90 : x
  2. Step 2: Convert to fraction form
    117,009.70/175,514.55 = 38,131.90/x
  3. Step 3: Cross multiply
    117,009.70x = 175,514.55 × 38,131.90
  4. Step 4: Simplify right side
    117,009.70x = 6,692,703,269.15
  5. Step 5: Solve for x
    x = 6,692,703,269.15/117,009.70
  6. Step 6: Final answer
    x = 57,197.85

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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.