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Finding the Fourth Proportional to 34,015.20, 51,023.70 and 10,642.20

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Solution

The fourth proportional to 34,015.20, 51,023.70 and 10,642.20 is: 15,963.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,015.20 : 51,023.70 = 10,642.20 : x
  2. Step 2: Convert to fraction form
    34,015.20/51,023.70 = 10,642.20/x
  3. Step 3: Cross multiply
    34,015.20x = 51,023.70 × 10,642.20
  4. Step 4: Simplify right side
    34,015.20x = 543,004,420.14
  5. Step 5: Solve for x
    x = 543,004,420.14/34,015.20
  6. Step 6: Final answer
    x = 15,963.58

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1.5x scale

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.