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Finding the Fourth Proportional to 77,193.90, 115,801.65 and 32,820.30

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Solution

The fourth proportional to 77,193.90, 115,801.65 and 32,820.30 is: 49,235.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,193.90 : 115,801.65 = 32,820.30 : x
  2. Step 2: Convert to fraction form
    77,193.90/115,801.65 = 32,820.30/x
  3. Step 3: Cross multiply
    77,193.90x = 115,801.65 × 32,820.30
  4. Step 4: Simplify right side
    77,193.90x = 3,800,644,893.50
  5. Step 5: Solve for x
    x = 3,800,644,893.50/77,193.90
  6. Step 6: Final answer
    x = 49,235.04

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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.