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Finding the Fourth Proportional to 34,029.22, 51,039.78 and 9,071.14

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Solution

The fourth proportional to 34,029.22, 51,039.78 and 9,071.14 is: 13,605.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,029.22 : 51,039.78 = 9,071.14 : x
  2. Step 2: Convert to fraction form
    34,029.22/51,039.78 = 9,071.14/x
  3. Step 3: Cross multiply
    34,029.22x = 51,039.78 × 9,071.14
  4. Step 4: Simplify right side
    34,029.22x = 462,988,989.95
  5. Step 5: Solve for x
    x = 462,988,989.95/34,029.22
  6. Step 6: Final answer
    x = 13,605.63

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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.