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Finding the Fourth Proportional to 49,766.34, 74,649.04 and 20,177.14

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Solution

The fourth proportional to 49,766.34, 74,649.04 and 20,177.14 is: 30,265.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,766.34 : 74,649.04 = 20,177.14 : x
  2. Step 2: Convert to fraction form
    49,766.34/74,649.04 = 20,177.14/x
  3. Step 3: Cross multiply
    49,766.34x = 74,649.04 × 20,177.14
  4. Step 4: Simplify right side
    49,766.34x = 1,506,204,130.95
  5. Step 5: Solve for x
    x = 1,506,204,130.95/49,766.34
  6. Step 6: Final answer
    x = 30,265.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.