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Finding the Fourth Proportional to 74,646.90, 111,978.18 and 35,193.42

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Solution

The fourth proportional to 74,646.90, 111,978.18 and 35,193.42 is: 52,793.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,646.90 : 111,978.18 = 35,193.42 : x
  2. Step 2: Convert to fraction form
    74,646.90/111,978.18 = 35,193.42/x
  3. Step 3: Cross multiply
    74,646.90x = 111,978.18 × 35,193.42
  4. Step 4: Simplify right side
    74,646.90x = 3,940,895,119.58
  5. Step 5: Solve for x
    x = 3,940,895,119.58/74,646.90
  6. Step 6: Final answer
    x = 52,793.82

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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.