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Finding the Fourth Proportional to 34,649.68, 51,980.93 and 10,963.19

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Solution

The fourth proportional to 34,649.68, 51,980.93 and 10,963.19 is: 16,446.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,649.68 : 51,980.93 = 10,963.19 : x
  2. Step 2: Convert to fraction form
    34,649.68/51,980.93 = 10,963.19/x
  3. Step 3: Cross multiply
    34,649.68x = 51,980.93 × 10,963.19
  4. Step 4: Simplify right side
    34,649.68x = 569,876,945.63
  5. Step 5: Solve for x
    x = 569,876,945.63/34,649.68
  6. Step 6: Final answer
    x = 16,446.82

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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.