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Finding the Fourth Proportional to 99,533.10, 149,324.94 and 29,412.42

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Solution

The fourth proportional to 99,533.10, 149,324.94 and 29,412.42 is: 44,126.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,533.10 : 149,324.94 = 29,412.42 : x
  2. Step 2: Convert to fraction form
    99,533.10/149,324.94 = 29,412.42/x
  3. Step 3: Cross multiply
    99,533.10x = 149,324.94 × 29,412.42
  4. Step 4: Simplify right side
    99,533.10x = 4,392,007,851.75
  5. Step 5: Solve for x
    x = 4,392,007,851.75/99,533.10
  6. Step 6: Final answer
    x = 44,126.10

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