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Finding the Fourth Proportional to 34,422.24, 51,642 and 16,900.32

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Solution

The fourth proportional to 34,422.24, 51,642 and 16,900.32 is: 25,354.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,422.24 : 51,642 = 16,900.32 : x
  2. Step 2: Convert to fraction form
    34,422.24/51,642 = 16,900.32/x
  3. Step 3: Cross multiply
    34,422.24x = 51,642 × 16,900.32
  4. Step 4: Simplify right side
    34,422.24x = 872,766,325.44
  5. Step 5: Solve for x
    x = 872,766,325.44/34,422.24
  6. Step 6: Final answer
    x = 25,354.72

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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.