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Finding the Fourth Proportional to 30,244.54, 45,369 and 8,057.82

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Solution

The fourth proportional to 30,244.54, 45,369 and 8,057.82 is: 12,087.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,244.54 : 45,369 = 8,057.82 : x
  2. Step 2: Convert to fraction form
    30,244.54/45,369 = 8,057.82/x
  3. Step 3: Cross multiply
    30,244.54x = 45,369 × 8,057.82
  4. Step 4: Simplify right side
    30,244.54x = 365,575,235.58
  5. Step 5: Solve for x
    x = 365,575,235.58/30,244.54
  6. Step 6: Final answer
    x = 12,087.31

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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.