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Finding the Fourth Proportional to 30,761.94, 42,622.62 and 30,097.38

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Solution

The fourth proportional to 30,761.94, 42,622.62 and 30,097.38 is: 41,701.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,761.94 : 42,622.62 = 30,097.38 : x
  2. Step 2: Convert to fraction form
    30,761.94/42,622.62 = 30,097.38/x
  3. Step 3: Cross multiply
    30,761.94x = 42,622.62 × 30,097.38
  4. Step 4: Simplify right side
    30,761.94x = 1,282,829,190.74
  5. Step 5: Solve for x
    x = 1,282,829,190.74/30,761.94
  6. Step 6: Final answer
    x = 41,701.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.