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Finding the Fourth Proportional to 36,234.84, 54,334.98 and 15,447

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Solution

The fourth proportional to 36,234.84, 54,334.98 and 15,447 is: 23,163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,234.84 : 54,334.98 = 15,447 : x
  2. Step 2: Convert to fraction form
    36,234.84/54,334.98 = 15,447/x
  3. Step 3: Cross multiply
    36,234.84x = 54,334.98 × 15,447
  4. Step 4: Simplify right side
    36,234.84x = 839,312,436.06
  5. Step 5: Solve for x
    x = 839,312,436.06/36,234.84
  6. Step 6: Final answer
    x = 23,163.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.