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Finding the Fourth Proportional to 110,388.80, 165,533.38 and 31,484.28

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Solution

The fourth proportional to 110,388.80, 165,533.38 and 31,484.28 is: 47,212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,388.80 : 165,533.38 = 31,484.28 : x
  2. Step 2: Convert to fraction form
    110,388.80/165,533.38 = 31,484.28/x
  3. Step 3: Cross multiply
    110,388.80x = 165,533.38 × 31,484.28
  4. Step 4: Simplify right side
    110,388.80x = 5,211,699,285.27
  5. Step 5: Solve for x
    x = 5,211,699,285.27/110,388.80
  6. Step 6: Final answer
    x = 47,212.21

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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.