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Finding the Fourth Proportional to 51,703.41, 71,339.63 and 30,183.38

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Solution

The fourth proportional to 51,703.41, 71,339.63 and 30,183.38 is: 41,646.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,703.41 : 71,339.63 = 30,183.38 : x
  2. Step 2: Convert to fraction form
    51,703.41/71,339.63 = 30,183.38/x
  3. Step 3: Cross multiply
    51,703.41x = 71,339.63 × 30,183.38
  4. Step 4: Simplify right side
    51,703.41x = 2,153,271,161.35
  5. Step 5: Solve for x
    x = 2,153,271,161.35/51,703.41
  6. Step 6: Final answer
    x = 41,646.60

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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.