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Finding the Fourth Proportional to 35,915.68, 53,882.22 and 12,223

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Solution

The fourth proportional to 35,915.68, 53,882.22 and 12,223 is: 18,337.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,915.68 : 53,882.22 = 12,223 : x
  2. Step 2: Convert to fraction form
    35,915.68/53,882.22 = 12,223/x
  3. Step 3: Cross multiply
    35,915.68x = 53,882.22 × 12,223
  4. Step 4: Simplify right side
    35,915.68x = 658,602,375.06
  5. Step 5: Solve for x
    x = 658,602,375.06/35,915.68
  6. Step 6: Final answer
    x = 18,337.46

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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.