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Finding the Fourth Proportional to 116,118, 174,206.27 and 33,012

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Solution

The fourth proportional to 116,118, 174,206.27 and 33,012 is: 49,526.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,118 : 174,206.27 = 33,012 : x
  2. Step 2: Convert to fraction form
    116,118/174,206.27 = 33,012/x
  3. Step 3: Cross multiply
    116,118x = 174,206.27 × 33,012
  4. Step 4: Simplify right side
    116,118x = 5,750,897,467.77
  5. Step 5: Solve for x
    x = 5,750,897,467.77/116,118
  6. Step 6: Final answer
    x = 49,526.32

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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.