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Finding the Fourth Proportional to 99,732.56, 149,554.44 and 36,536

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Solution

The fourth proportional to 99,732.56, 149,554.44 and 36,536 is: 54,787.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,732.56 : 149,554.44 = 36,536 : x
  2. Step 2: Convert to fraction form
    99,732.56/149,554.44 = 36,536/x
  3. Step 3: Cross multiply
    99,732.56x = 149,554.44 × 36,536
  4. Step 4: Simplify right side
    99,732.56x = 5,464,121,019.84
  5. Step 5: Solve for x
    x = 5,464,121,019.84/99,732.56
  6. Step 6: Final answer
    x = 54,787.73

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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.