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Finding the Fourth Proportional to 89,208, 133,863.84 and 39,960

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Solution

The fourth proportional to 89,208, 133,863.84 and 39,960 is: 59,963.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,208 : 133,863.84 = 39,960 : x
  2. Step 2: Convert to fraction form
    89,208/133,863.84 = 39,960/x
  3. Step 3: Cross multiply
    89,208x = 133,863.84 × 39,960
  4. Step 4: Simplify right side
    89,208x = 5,349,199,046.40
  5. Step 5: Solve for x
    x = 5,349,199,046.40/89,208
  6. Step 6: Final answer
    x = 59,963.22

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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.