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Finding the Fourth Proportional to 52,794.96, 72,829.44 and 32,645.40

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Solution

The fourth proportional to 52,794.96, 72,829.44 and 32,645.40 is: 45,033.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,794.96 : 72,829.44 = 32,645.40 : x
  2. Step 2: Convert to fraction form
    52,794.96/72,829.44 = 32,645.40/x
  3. Step 3: Cross multiply
    52,794.96x = 72,829.44 × 32,645.40
  4. Step 4: Simplify right side
    52,794.96x = 2,377,546,200.58
  5. Step 5: Solve for x
    x = 2,377,546,200.58/52,794.96
  6. Step 6: Final answer
    x = 45,033.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.