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Finding the Fourth Proportional to 110,919.96, 166,386.24 and 36,046.50

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Solution

The fourth proportional to 110,919.96, 166,386.24 and 36,046.50 is: 54,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,919.96 : 166,386.24 = 36,046.50 : x
  2. Step 2: Convert to fraction form
    110,919.96/166,386.24 = 36,046.50/x
  3. Step 3: Cross multiply
    110,919.96x = 166,386.24 × 36,046.50
  4. Step 4: Simplify right side
    110,919.96x = 5,997,641,600.16
  5. Step 5: Solve for x
    x = 5,997,641,600.16/110,919.96
  6. Step 6: Final answer
    x = 54,071.80

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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.