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Finding the Fourth Proportional to 53,544, 73,890.72 and 29,992

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Solution

The fourth proportional to 53,544, 73,890.72 and 29,992 is: 41,388.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,544 : 73,890.72 = 29,992 : x
  2. Step 2: Convert to fraction form
    53,544/73,890.72 = 29,992/x
  3. Step 3: Cross multiply
    53,544x = 73,890.72 × 29,992
  4. Step 4: Simplify right side
    53,544x = 2,216,130,474.24
  5. Step 5: Solve for x
    x = 2,216,130,474.24/53,544
  6. Step 6: Final answer
    x = 41,388.96

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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.