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Finding the Fourth Proportional to 89,143.86, 133,716 and 22,584

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Solution

The fourth proportional to 89,143.86, 133,716 and 22,584 is: 33,876.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,143.86 : 133,716 = 22,584 : x
  2. Step 2: Convert to fraction form
    89,143.86/133,716 = 22,584/x
  3. Step 3: Cross multiply
    89,143.86x = 133,716 × 22,584
  4. Step 4: Simplify right side
    89,143.86x = 3,019,842,144
  5. Step 5: Solve for x
    x = 3,019,842,144/89,143.86
  6. Step 6: Final answer
    x = 33,876.05

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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.