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Finding the Fourth Proportional to 33,072.40, 49,571.70 and 14,330.80

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Solution

The fourth proportional to 33,072.40, 49,571.70 and 14,330.80 is: 21,480.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,072.40 : 49,571.70 = 14,330.80 : x
  2. Step 2: Convert to fraction form
    33,072.40/49,571.70 = 14,330.80/x
  3. Step 3: Cross multiply
    33,072.40x = 49,571.70 × 14,330.80
  4. Step 4: Simplify right side
    33,072.40x = 710,402,118.36
  5. Step 5: Solve for x
    x = 710,402,118.36/33,072.40
  6. Step 6: Final answer
    x = 21,480.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.