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Finding the Fourth Proportional to 30,800.49, 46,202.04 and 12,078.87

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Solution

The fourth proportional to 30,800.49, 46,202.04 and 12,078.87 is: 18,118.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,800.49 : 46,202.04 = 12,078.87 : x
  2. Step 2: Convert to fraction form
    30,800.49/46,202.04 = 12,078.87/x
  3. Step 3: Cross multiply
    30,800.49x = 46,202.04 × 12,078.87
  4. Step 4: Simplify right side
    30,800.49x = 558,068,434.89
  5. Step 5: Solve for x
    x = 558,068,434.89/30,800.49
  6. Step 6: Final answer
    x = 18,118.82

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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.