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Finding the Fourth Proportional to 35,730.95, 49,318.34 and 22,294.26

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Solution

The fourth proportional to 35,730.95, 49,318.34 and 22,294.26 is: 30,772.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,730.95 : 49,318.34 = 22,294.26 : x
  2. Step 2: Convert to fraction form
    35,730.95/49,318.34 = 22,294.26/x
  3. Step 3: Cross multiply
    35,730.95x = 49,318.34 × 22,294.26
  4. Step 4: Simplify right side
    35,730.95x = 1,099,515,783.26
  5. Step 5: Solve for x
    x = 1,099,515,783.26/35,730.95
  6. Step 6: Final answer
    x = 30,772.09

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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.