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Finding the Fourth Proportional to 99,858.47, 149,795.19 and 31,464.09

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Solution

The fourth proportional to 99,858.47, 149,795.19 and 31,464.09 is: 47,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,858.47 : 149,795.19 = 31,464.09 : x
  2. Step 2: Convert to fraction form
    99,858.47/149,795.19 = 31,464.09/x
  3. Step 3: Cross multiply
    99,858.47x = 149,795.19 × 31,464.09
  4. Step 4: Simplify right side
    99,858.47x = 4,713,169,339.73
  5. Step 5: Solve for x
    x = 4,713,169,339.73/99,858.47
  6. Step 6: Final answer
    x = 47,198.50

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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.