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Finding the Fourth Proportional to 110,532.96, 165,764.88 and 48,140.64

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Solution

The fourth proportional to 110,532.96, 165,764.88 and 48,140.64 is: 72,195.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,532.96 : 165,764.88 = 48,140.64 : x
  2. Step 2: Convert to fraction form
    110,532.96/165,764.88 = 48,140.64/x
  3. Step 3: Cross multiply
    110,532.96x = 165,764.88 × 48,140.64
  4. Step 4: Simplify right side
    110,532.96x = 7,980,027,412.72
  5. Step 5: Solve for x
    x = 7,980,027,412.72/110,532.96
  6. Step 6: Final answer
    x = 72,195.91

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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.