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Finding the Fourth Proportional to 33,017.84, 49,521 and 15,246.98

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Solution

The fourth proportional to 33,017.84, 49,521 and 15,246.98 is: 22,867.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,017.84 : 49,521 = 15,246.98 : x
  2. Step 2: Convert to fraction form
    33,017.84/49,521 = 15,246.98/x
  3. Step 3: Cross multiply
    33,017.84x = 49,521 × 15,246.98
  4. Step 4: Simplify right side
    33,017.84x = 755,045,448.98
  5. Step 5: Solve for x
    x = 755,045,448.98/33,017.84
  6. Step 6: Final answer
    x = 22,867.81

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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.