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Finding the Fourth Proportional to 52,176.21, 78,257.93 and 22,202.49

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Solution

The fourth proportional to 52,176.21, 78,257.93 and 22,202.49 is: 33,301.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,176.21 : 78,257.93 = 22,202.49 : x
  2. Step 2: Convert to fraction form
    52,176.21/78,257.93 = 22,202.49/x
  3. Step 3: Cross multiply
    52,176.21x = 78,257.93 × 22,202.49
  4. Step 4: Simplify right side
    52,176.21x = 1,737,521,199.21
  5. Step 5: Solve for x
    x = 1,737,521,199.21/52,176.21
  6. Step 6: Final answer
    x = 33,301.02

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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.