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Finding the Fourth Proportional to 30,631.25, 45,949.49 and 8,444.64

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Solution

The fourth proportional to 30,631.25, 45,949.49 and 8,444.64 is: 12,667.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,631.25 : 45,949.49 = 8,444.64 : x
  2. Step 2: Convert to fraction form
    30,631.25/45,949.49 = 8,444.64/x
  3. Step 3: Cross multiply
    30,631.25x = 45,949.49 × 8,444.64
  4. Step 4: Simplify right side
    30,631.25x = 388,026,901.23
  5. Step 5: Solve for x
    x = 388,026,901.23/30,631.25
  6. Step 6: Final answer
    x = 12,667.68

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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.