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Finding the Fourth Proportional to 30,677.46, 42,333.80 and 17,249.48

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Solution

The fourth proportional to 30,677.46, 42,333.80 and 17,249.48 is: 23,803.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,677.46 : 42,333.80 = 17,249.48 : x
  2. Step 2: Convert to fraction form
    30,677.46/42,333.80 = 17,249.48/x
  3. Step 3: Cross multiply
    30,677.46x = 42,333.80 × 17,249.48
  4. Step 4: Simplify right side
    30,677.46x = 730,236,185.38
  5. Step 5: Solve for x
    x = 730,236,185.38/30,677.46
  6. Step 6: Final answer
    x = 23,803.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.