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Finding the Fourth Proportional to 33,984, 50,966.28 and 14,266.98

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Solution

The fourth proportional to 33,984, 50,966.28 and 14,266.98 is: 21,396.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,984 : 50,966.28 = 14,266.98 : x
  2. Step 2: Convert to fraction form
    33,984/50,966.28 = 14,266.98/x
  3. Step 3: Cross multiply
    33,984x = 50,966.28 × 14,266.98
  4. Step 4: Simplify right side
    33,984x = 727,134,897.43
  5. Step 5: Solve for x
    x = 727,134,897.43/33,984
  6. Step 6: Final answer
    x = 21,396.39

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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.