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Finding the Fourth Proportional to 41,657.69, 57,435.46 and 34,768.74

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Solution

The fourth proportional to 41,657.69, 57,435.46 and 34,768.74 is: 47,937.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,657.69 : 57,435.46 = 34,768.74 : x
  2. Step 2: Convert to fraction form
    41,657.69/57,435.46 = 34,768.74/x
  3. Step 3: Cross multiply
    41,657.69x = 57,435.46 × 34,768.74
  4. Step 4: Simplify right side
    41,657.69x = 1,996,958,488.60
  5. Step 5: Solve for x
    x = 1,996,958,488.60/41,657.69
  6. Step 6: Final answer
    x = 47,937.34

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