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Finding the Fourth Proportional to 30,478.45, 42,059.31 and 17,049.94

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Solution

The fourth proportional to 30,478.45, 42,059.31 and 17,049.94 is: 23,528.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,478.45 : 42,059.31 = 17,049.94 : x
  2. Step 2: Convert to fraction form
    30,478.45/42,059.31 = 17,049.94/x
  3. Step 3: Cross multiply
    30,478.45x = 42,059.31 × 17,049.94
  4. Step 4: Simplify right side
    30,478.45x = 717,108,711.94
  5. Step 5: Solve for x
    x = 717,108,711.94/30,478.45
  6. Step 6: Final answer
    x = 23,528.39

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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.