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Finding the Fourth Proportional to 30,748.56, 46,094.04 and 16,687.95

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Solution

The fourth proportional to 30,748.56, 46,094.04 and 16,687.95 is: 25,016.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,748.56 : 46,094.04 = 16,687.95 : x
  2. Step 2: Convert to fraction form
    30,748.56/46,094.04 = 16,687.95/x
  3. Step 3: Cross multiply
    30,748.56x = 46,094.04 × 16,687.95
  4. Step 4: Simplify right side
    30,748.56x = 769,215,034.82
  5. Step 5: Solve for x
    x = 769,215,034.82/30,748.56
  6. Step 6: Final answer
    x = 25,016.29

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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.