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Finding the Fourth Proportional to 51,561.66, 71,150.22 and 29,205.66

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Solution

The fourth proportional to 51,561.66, 71,150.22 and 29,205.66 is: 40,301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,561.66 : 71,150.22 = 29,205.66 : x
  2. Step 2: Convert to fraction form
    51,561.66/71,150.22 = 29,205.66/x
  3. Step 3: Cross multiply
    51,561.66x = 71,150.22 × 29,205.66
  4. Step 4: Simplify right side
    51,561.66x = 2,077,989,134.25
  5. Step 5: Solve for x
    x = 2,077,989,134.25/51,561.66
  6. Step 6: Final answer
    x = 40,301.05

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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.