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Finding the Fourth Proportional to 89,190.30, 133,805.10 and 30,024

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Solution

The fourth proportional to 89,190.30, 133,805.10 and 30,024 is: 45,042.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,190.30 : 133,805.10 = 30,024 : x
  2. Step 2: Convert to fraction form
    89,190.30/133,805.10 = 30,024/x
  3. Step 3: Cross multiply
    89,190.30x = 133,805.10 × 30,024
  4. Step 4: Simplify right side
    89,190.30x = 4,017,364,322.40
  5. Step 5: Solve for x
    x = 4,017,364,322.40/89,190.30
  6. Step 6: Final answer
    x = 45,042.61

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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.