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Finding the Fourth Proportional to 99,410.98, 149,097.95 and 31,944.18

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Solution

The fourth proportional to 99,410.98, 149,097.95 and 31,944.18 is: 47,910.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,410.98 : 149,097.95 = 31,944.18 : x
  2. Step 2: Convert to fraction form
    99,410.98/149,097.95 = 31,944.18/x
  3. Step 3: Cross multiply
    99,410.98x = 149,097.95 × 31,944.18
  4. Step 4: Simplify right side
    99,410.98x = 4,762,812,268.30
  5. Step 5: Solve for x
    x = 4,762,812,268.30/99,410.98
  6. Step 6: Final answer
    x = 47,910.32

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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.