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Finding the Fourth Proportional to 33,005.46, 49,521.15 and 14,524.50

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Solution

The fourth proportional to 33,005.46, 49,521.15 and 14,524.50 is: 21,792.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,005.46 : 49,521.15 = 14,524.50 : x
  2. Step 2: Convert to fraction form
    33,005.46/49,521.15 = 14,524.50/x
  3. Step 3: Cross multiply
    33,005.46x = 49,521.15 × 14,524.50
  4. Step 4: Simplify right side
    33,005.46x = 719,269,943.18
  5. Step 5: Solve for x
    x = 719,269,943.18/33,005.46
  6. Step 6: Final answer
    x = 21,792.45

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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.