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Finding the Fourth Proportional to 34,023.54, 51,038.01 and 10,649.91

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Solution

The fourth proportional to 34,023.54, 51,038.01 and 10,649.91 is: 15,975.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,023.54 : 51,038.01 = 10,649.91 : x
  2. Step 2: Convert to fraction form
    34,023.54/51,038.01 = 10,649.91/x
  3. Step 3: Cross multiply
    34,023.54x = 51,038.01 × 10,649.91
  4. Step 4: Simplify right side
    34,023.54x = 543,550,213.08
  5. Step 5: Solve for x
    x = 543,550,213.08/34,023.54
  6. Step 6: Final answer
    x = 15,975.71

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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.