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Finding the Fourth Proportional to 33,208.52, 49,810.95 and 13,489.07

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Solution

The fourth proportional to 33,208.52, 49,810.95 and 13,489.07 is: 20,232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,208.52 : 49,810.95 = 13,489.07 : x
  2. Step 2: Convert to fraction form
    33,208.52/49,810.95 = 13,489.07/x
  3. Step 3: Cross multiply
    33,208.52x = 49,810.95 × 13,489.07
  4. Step 4: Simplify right side
    33,208.52x = 671,903,142.26
  5. Step 5: Solve for x
    x = 671,903,142.26/33,208.52
  6. Step 6: Final answer
    x = 20,232.86

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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.