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Finding the Fourth Proportional to 33,126, 45,714.12 and 18,222

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Solution

The fourth proportional to 33,126, 45,714.12 and 18,222 is: 25,146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,126 : 45,714.12 = 18,222 : x
  2. Step 2: Convert to fraction form
    33,126/45,714.12 = 18,222/x
  3. Step 3: Cross multiply
    33,126x = 45,714.12 × 18,222
  4. Step 4: Simplify right side
    33,126x = 833,002,694.64
  5. Step 5: Solve for x
    x = 833,002,694.64/33,126
  6. Step 6: Final answer
    x = 25,146.49

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