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Finding the Fourth Proportional to 30,476.52, 41,964.09 and 26,678.43

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Solution

The fourth proportional to 30,476.52, 41,964.09 and 26,678.43 is: 36,734.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,476.52 : 41,964.09 = 26,678.43 : x
  2. Step 2: Convert to fraction form
    30,476.52/41,964.09 = 26,678.43/x
  3. Step 3: Cross multiply
    30,476.52x = 41,964.09 × 26,678.43
  4. Step 4: Simplify right side
    30,476.52x = 1,119,536,037.58
  5. Step 5: Solve for x
    x = 1,119,536,037.58/30,476.52
  6. Step 6: Final answer
    x = 36,734.38

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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.