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Finding the Fourth Proportional to 99,505.53, 149,164.47 and 49,538.34

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Solution

The fourth proportional to 99,505.53, 149,164.47 and 49,538.34 is: 74,260.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,505.53 : 149,164.47 = 49,538.34 : x
  2. Step 2: Convert to fraction form
    99,505.53/149,164.47 = 49,538.34/x
  3. Step 3: Cross multiply
    99,505.53x = 149,164.47 × 49,538.34
  4. Step 4: Simplify right side
    99,505.53x = 7,389,360,230.78
  5. Step 5: Solve for x
    x = 7,389,360,230.78/99,505.53
  6. Step 6: Final answer
    x = 74,260.80

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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.