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Finding the Fourth Proportional to 30,751.56, 46,069.02 and 18,245.16

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Solution

The fourth proportional to 30,751.56, 46,069.02 and 18,245.16 is: 27,333.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,751.56 : 46,069.02 = 18,245.16 : x
  2. Step 2: Convert to fraction form
    30,751.56/46,069.02 = 18,245.16/x
  3. Step 3: Cross multiply
    30,751.56x = 46,069.02 × 18,245.16
  4. Step 4: Simplify right side
    30,751.56x = 840,536,640.94
  5. Step 5: Solve for x
    x = 840,536,640.94/30,751.56
  6. Step 6: Final answer
    x = 27,333.14

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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.