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Finding the Fourth Proportional to 49,617, 68,270.58 and 47,893.32

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Solution

The fourth proportional to 49,617, 68,270.58 and 47,893.32 is: 65,898.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,617 : 68,270.58 = 47,893.32 : x
  2. Step 2: Convert to fraction form
    49,617/68,270.58 = 47,893.32/x
  3. Step 3: Cross multiply
    49,617x = 68,270.58 × 47,893.32
  4. Step 4: Simplify right side
    49,617x = 3,269,704,734.53
  5. Step 5: Solve for x
    x = 3,269,704,734.53/49,617
  6. Step 6: Final answer
    x = 65,898.88

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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.