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Finding the Fourth Proportional to 30,904.20, 46,350.36 and 12,179.16

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Solution

The fourth proportional to 30,904.20, 46,350.36 and 12,179.16 is: 18,266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,904.20 : 46,350.36 = 12,179.16 : x
  2. Step 2: Convert to fraction form
    30,904.20/46,350.36 = 12,179.16/x
  3. Step 3: Cross multiply
    30,904.20x = 46,350.36 × 12,179.16
  4. Step 4: Simplify right side
    30,904.20x = 564,508,450.50
  5. Step 5: Solve for x
    x = 564,508,450.50/30,904.20
  6. Step 6: Final answer
    x = 18,266.40

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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.