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Finding the Fourth Proportional to 30,728.36, 46,093.45 and 12,007.64

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Solution

The fourth proportional to 30,728.36, 46,093.45 and 12,007.64 is: 18,011.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,728.36 : 46,093.45 = 12,007.64 : x
  2. Step 2: Convert to fraction form
    30,728.36/46,093.45 = 12,007.64/x
  3. Step 3: Cross multiply
    30,728.36x = 46,093.45 × 12,007.64
  4. Step 4: Simplify right side
    30,728.36x = 553,473,553.96
  5. Step 5: Solve for x
    x = 553,473,553.96/30,728.36
  6. Step 6: Final answer
    x = 18,011.82

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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.