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Finding the Fourth Proportional to 117,006.34, 175,509.36 and 38,120.44

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Solution

The fourth proportional to 117,006.34, 175,509.36 and 38,120.44 is: 57,180.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,006.34 : 175,509.36 = 38,120.44 : x
  2. Step 2: Convert to fraction form
    117,006.34/175,509.36 = 38,120.44/x
  3. Step 3: Cross multiply
    117,006.34x = 175,509.36 × 38,120.44
  4. Step 4: Simplify right side
    117,006.34x = 6,690,494,027.32
  5. Step 5: Solve for x
    x = 6,690,494,027.32/117,006.34
  6. Step 6: Final answer
    x = 57,180.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.