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Finding the Fourth Proportional to 89,133.84, 133,651.44 and 36,580.32

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Solution

The fourth proportional to 89,133.84, 133,651.44 and 36,580.32 is: 54,850.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,133.84 : 133,651.44 = 36,580.32 : x
  2. Step 2: Convert to fraction form
    89,133.84/133,651.44 = 36,580.32/x
  3. Step 3: Cross multiply
    89,133.84x = 133,651.44 × 36,580.32
  4. Step 4: Simplify right side
    89,133.84x = 4,889,012,443.66
  5. Step 5: Solve for x
    x = 4,889,012,443.66/89,133.84
  6. Step 6: Final answer
    x = 54,850.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.