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Finding the Fourth Proportional to 49,766.13, 74,649.19 and 12,830.13

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Solution

The fourth proportional to 49,766.13, 74,649.19 and 12,830.13 is: 19,245.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,766.13 : 74,649.19 = 12,830.13 : x
  2. Step 2: Convert to fraction form
    49,766.13/74,649.19 = 12,830.13/x
  3. Step 3: Cross multiply
    49,766.13x = 74,649.19 × 12,830.13
  4. Step 4: Simplify right side
    49,766.13x = 957,758,438.85
  5. Step 5: Solve for x
    x = 957,758,438.85/49,766.13
  6. Step 6: Final answer
    x = 19,245.19

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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.