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Finding the Fourth Proportional to 33,264.94, 49,897.32 and 13,538.84

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Solution

The fourth proportional to 33,264.94, 49,897.32 and 13,538.84 is: 20,308.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,264.94 : 49,897.32 = 13,538.84 : x
  2. Step 2: Convert to fraction form
    33,264.94/49,897.32 = 13,538.84/x
  3. Step 3: Cross multiply
    33,264.94x = 49,897.32 × 13,538.84
  4. Step 4: Simplify right side
    33,264.94x = 675,551,831.91
  5. Step 5: Solve for x
    x = 675,551,831.91/33,264.94
  6. Step 6: Final answer
    x = 20,308.22

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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.