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Finding the Fourth Proportional to 30,226, 41,718.48 and 16,801.84

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Solution

The fourth proportional to 30,226, 41,718.48 and 16,801.84 is: 23,190.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,226 : 41,718.48 = 16,801.84 : x
  2. Step 2: Convert to fraction form
    30,226/41,718.48 = 16,801.84/x
  3. Step 3: Cross multiply
    30,226x = 41,718.48 × 16,801.84
  4. Step 4: Simplify right side
    30,226x = 700,947,226.00
  5. Step 5: Solve for x
    x = 700,947,226.00/30,226
  6. Step 6: Final answer
    x = 23,190.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.