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Finding the Fourth Proportional to 110,316.72, 165,448.08 and 51,096

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Solution

The fourth proportional to 110,316.72, 165,448.08 and 51,096 is: 76,631.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,316.72 : 165,448.08 = 51,096 : x
  2. Step 2: Convert to fraction form
    110,316.72/165,448.08 = 51,096/x
  3. Step 3: Cross multiply
    110,316.72x = 165,448.08 × 51,096
  4. Step 4: Simplify right side
    110,316.72x = 8,453,735,095.68
  5. Step 5: Solve for x
    x = 8,453,735,095.68/110,316.72
  6. Step 6: Final answer
    x = 76,631.49

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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.