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Finding the Fourth Proportional to 38,222.84, 52,745.04 and 21,225.74

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Solution

The fourth proportional to 38,222.84, 52,745.04 and 21,225.74 is: 29,290.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,222.84 : 52,745.04 = 21,225.74 : x
  2. Step 2: Convert to fraction form
    38,222.84/52,745.04 = 21,225.74/x
  3. Step 3: Cross multiply
    38,222.84x = 52,745.04 × 21,225.74
  4. Step 4: Simplify right side
    38,222.84x = 1,119,552,505.33
  5. Step 5: Solve for x
    x = 1,119,552,505.33/38,222.84
  6. Step 6: Final answer
    x = 29,290.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.