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Finding the Fourth Proportional to 34,121.63, 51,189.93 and 10,431.14

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Solution

The fourth proportional to 34,121.63, 51,189.93 and 10,431.14 is: 15,649.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,121.63 : 51,189.93 = 10,431.14 : x
  2. Step 2: Convert to fraction form
    34,121.63/51,189.93 = 10,431.14/x
  3. Step 3: Cross multiply
    34,121.63x = 51,189.93 × 10,431.14
  4. Step 4: Simplify right side
    34,121.63x = 533,969,326.42
  5. Step 5: Solve for x
    x = 533,969,326.42/34,121.63
  6. Step 6: Final answer
    x = 15,649.00

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Why These Related Problems?

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