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Finding the Fourth Proportional to 34,042.88, 51,031.52 and 17,410.75

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Solution

The fourth proportional to 34,042.88, 51,031.52 and 17,410.75 is: 26,099.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,042.88 : 51,031.52 = 17,410.75 : x
  2. Step 2: Convert to fraction form
    34,042.88/51,031.52 = 17,410.75/x
  3. Step 3: Cross multiply
    34,042.88x = 51,031.52 × 17,410.75
  4. Step 4: Simplify right side
    34,042.88x = 888,496,887.50
  5. Step 5: Solve for x
    x = 888,496,887.50/34,042.88
  6. Step 6: Final answer
    x = 26,099.34

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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.