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Finding the Fourth Proportional to 99,705.81, 149,558.78 and 29,584.50

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Solution

The fourth proportional to 99,705.81, 149,558.78 and 29,584.50 is: 44,376.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,705.81 : 149,558.78 = 29,584.50 : x
  2. Step 2: Convert to fraction form
    99,705.81/149,558.78 = 29,584.50/x
  3. Step 3: Cross multiply
    99,705.81x = 149,558.78 × 29,584.50
  4. Step 4: Simplify right side
    99,705.81x = 4,424,621,578.99
  5. Step 5: Solve for x
    x = 4,424,621,578.99/99,705.81
  6. Step 6: Final answer
    x = 44,376.77

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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.