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Finding the Fourth Proportional to 117,091.20, 175,636.80 and 32,851.20

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Solution

The fourth proportional to 117,091.20, 175,636.80 and 32,851.20 is: 49,276.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,091.20 : 175,636.80 = 32,851.20 : x
  2. Step 2: Convert to fraction form
    117,091.20/175,636.80 = 32,851.20/x
  3. Step 3: Cross multiply
    117,091.20x = 175,636.80 × 32,851.20
  4. Step 4: Simplify right side
    117,091.20x = 5,769,879,644.16
  5. Step 5: Solve for x
    x = 5,769,879,644.16/117,091.20
  6. Step 6: Final answer
    x = 49,276.80

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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.