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Finding the Fourth Proportional to 30,293.70, 45,439.90 and 8,107.08

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Solution

The fourth proportional to 30,293.70, 45,439.90 and 8,107.08 is: 12,160.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,293.70 : 45,439.90 = 8,107.08 : x
  2. Step 2: Convert to fraction form
    30,293.70/45,439.90 = 8,107.08/x
  3. Step 3: Cross multiply
    30,293.70x = 45,439.90 × 8,107.08
  4. Step 4: Simplify right side
    30,293.70x = 368,384,904.49
  5. Step 5: Solve for x
    x = 368,384,904.49/30,293.70
  6. Step 6: Final answer
    x = 12,160.45

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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.