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Finding the Fourth Proportional to 33,006.46, 49,522.65 and 14,525.50

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Solution

The fourth proportional to 33,006.46, 49,522.65 and 14,525.50 is: 21,793.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,006.46 : 49,522.65 = 14,525.50 : x
  2. Step 2: Convert to fraction form
    33,006.46/49,522.65 = 14,525.50/x
  3. Step 3: Cross multiply
    33,006.46x = 49,522.65 × 14,525.50
  4. Step 4: Simplify right side
    33,006.46x = 719,341,252.58
  5. Step 5: Solve for x
    x = 719,341,252.58/33,006.46
  6. Step 6: Final answer
    x = 21,793.95

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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.