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Finding the Fourth Proportional to 32,822.88, 49,198.95 and 15,920.10

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Solution

The fourth proportional to 32,822.88, 49,198.95 and 15,920.10 is: 23,862.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,822.88 : 49,198.95 = 15,920.10 : x
  2. Step 2: Convert to fraction form
    32,822.88/49,198.95 = 15,920.10/x
  3. Step 3: Cross multiply
    32,822.88x = 49,198.95 × 15,920.10
  4. Step 4: Simplify right side
    32,822.88x = 783,252,203.90
  5. Step 5: Solve for x
    x = 783,252,203.90/32,822.88
  6. Step 6: Final answer
    x = 23,862.99

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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.