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Finding the Fourth Proportional to 30,471.84, 45,686.16 and 11,736.27

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Solution

The fourth proportional to 30,471.84, 45,686.16 and 11,736.27 is: 17,596.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.84 : 45,686.16 = 11,736.27 : x
  2. Step 2: Convert to fraction form
    30,471.84/45,686.16 = 11,736.27/x
  3. Step 3: Cross multiply
    30,471.84x = 45,686.16 × 11,736.27
  4. Step 4: Simplify right side
    30,471.84x = 536,185,109.02
  5. Step 5: Solve for x
    x = 536,185,109.02/30,471.84
  6. Step 6: Final answer
    x = 17,596.09

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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.