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Finding the Fourth Proportional to 29,766.42, 41,065.38 and 19,699.74

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Solution

The fourth proportional to 29,766.42, 41,065.38 and 19,699.74 is: 27,177.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,766.42 : 41,065.38 = 19,699.74 : x
  2. Step 2: Convert to fraction form
    29,766.42/41,065.38 = 19,699.74/x
  3. Step 3: Cross multiply
    29,766.42x = 41,065.38 × 19,699.74
  4. Step 4: Simplify right side
    29,766.42x = 808,977,309.00
  5. Step 5: Solve for x
    x = 808,977,309.00/29,766.42
  6. Step 6: Final answer
    x = 27,177.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.