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Finding the Fourth Proportional to 24,782.78, 37,173.83 and 6,062.96

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Solution

The fourth proportional to 24,782.78, 37,173.83 and 6,062.96 is: 9,094.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,782.78 : 37,173.83 = 6,062.96 : x
  2. Step 2: Convert to fraction form
    24,782.78/37,173.83 = 6,062.96/x
  3. Step 3: Cross multiply
    24,782.78x = 37,173.83 × 6,062.96
  4. Step 4: Simplify right side
    24,782.78x = 225,383,228.15
  5. Step 5: Solve for x
    x = 225,383,228.15/24,782.78
  6. Step 6: Final answer
    x = 9,094.35

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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.