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Finding the Fourth Proportional to 89,142.86, 133,714.50 and 22,583

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Solution

The fourth proportional to 89,142.86, 133,714.50 and 22,583 is: 33,874.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,142.86 : 133,714.50 = 22,583 : x
  2. Step 2: Convert to fraction form
    89,142.86/133,714.50 = 22,583/x
  3. Step 3: Cross multiply
    89,142.86x = 133,714.50 × 22,583
  4. Step 4: Simplify right side
    89,142.86x = 3,019,674,553.50
  5. Step 5: Solve for x
    x = 3,019,674,553.50/89,142.86
  6. Step 6: Final answer
    x = 33,874.55

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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.