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Finding the Fourth Proportional to 99,506.53, 149,165.97 and 49,539.34

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Solution

The fourth proportional to 99,506.53, 149,165.97 and 49,539.34 is: 74,262.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,506.53 : 149,165.97 = 49,539.34 : x
  2. Step 2: Convert to fraction form
    99,506.53/149,165.97 = 49,539.34/x
  3. Step 3: Cross multiply
    99,506.53x = 149,165.97 × 49,539.34
  4. Step 4: Simplify right side
    99,506.53x = 7,389,583,704.26
  5. Step 5: Solve for x
    x = 7,389,583,704.26/99,506.53
  6. Step 6: Final answer
    x = 74,262.30

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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.