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Finding the Fourth Proportional to 30,447.74, 45,677.29 and 10,738.82

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Solution

The fourth proportional to 30,447.74, 45,677.29 and 10,738.82 is: 16,110.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,447.74 : 45,677.29 = 10,738.82 : x
  2. Step 2: Convert to fraction form
    30,447.74/45,677.29 = 10,738.82/x
  3. Step 3: Cross multiply
    30,447.74x = 45,677.29 × 10,738.82
  4. Step 4: Simplify right side
    30,447.74x = 490,520,282.74
  5. Step 5: Solve for x
    x = 490,520,282.74/30,447.74
  6. Step 6: Final answer
    x = 16,110.23

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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.