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Finding the Fourth Proportional to 117,171, 175,786.47 and 34,065

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Solution

The fourth proportional to 117,171, 175,786.47 and 34,065 is: 51,106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,171 : 175,786.47 = 34,065 : x
  2. Step 2: Convert to fraction form
    117,171/175,786.47 = 34,065/x
  3. Step 3: Cross multiply
    117,171x = 175,786.47 × 34,065
  4. Step 4: Simplify right side
    117,171x = 5,988,166,100.55
  5. Step 5: Solve for x
    x = 5,988,166,100.55/117,171
  6. Step 6: Final answer
    x = 51,106.21

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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.