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Finding the Fourth Proportional to 74,064.31, 111,022.62 and 47,787.51

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Solution

The fourth proportional to 74,064.31, 111,022.62 and 47,787.51 is: 71,633.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,064.31 : 111,022.62 = 47,787.51 : x
  2. Step 2: Convert to fraction form
    74,064.31/111,022.62 = 47,787.51/x
  3. Step 3: Cross multiply
    74,064.31x = 111,022.62 × 47,787.51
  4. Step 4: Simplify right side
    74,064.31x = 5,305,494,563.48
  5. Step 5: Solve for x
    x = 5,305,494,563.48/74,064.31
  6. Step 6: Final answer
    x = 71,633.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.