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Finding the Fourth Proportional to 31,579.82, 47,369.73 and 9,393.51

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Solution

The fourth proportional to 31,579.82, 47,369.73 and 9,393.51 is: 14,090.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,579.82 : 47,369.73 = 9,393.51 : x
  2. Step 2: Convert to fraction form
    31,579.82/47,369.73 = 9,393.51/x
  3. Step 3: Cross multiply
    31,579.82x = 47,369.73 × 9,393.51
  4. Step 4: Simplify right side
    31,579.82x = 444,967,985.48
  5. Step 5: Solve for x
    x = 444,967,985.48/31,579.82
  6. Step 6: Final answer
    x = 14,090.27

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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.