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Finding the Fourth Proportional to 110,171.30, 165,260.87 and 35,281.71

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Solution

The fourth proportional to 110,171.30, 165,260.87 and 35,281.71 is: 52,923.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,171.30 : 165,260.87 = 35,281.71 : x
  2. Step 2: Convert to fraction form
    110,171.30/165,260.87 = 35,281.71/x
  3. Step 3: Cross multiply
    110,171.30x = 165,260.87 × 35,281.71
  4. Step 4: Simplify right side
    110,171.30x = 5,830,685,913.28
  5. Step 5: Solve for x
    x = 5,830,685,913.28/110,171.30
  6. Step 6: Final answer
    x = 52,923.82

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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.