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Finding the Fourth Proportional to 51,409.68, 77,198.22 and 31,813.08

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Solution

The fourth proportional to 51,409.68, 77,198.22 and 31,813.08 is: 47,771.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,409.68 : 77,198.22 = 31,813.08 : x
  2. Step 2: Convert to fraction form
    51,409.68/77,198.22 = 31,813.08/x
  3. Step 3: Cross multiply
    51,409.68x = 77,198.22 × 31,813.08
  4. Step 4: Simplify right side
    51,409.68x = 2,455,913,148.72
  5. Step 5: Solve for x
    x = 2,455,913,148.72/51,409.68
  6. Step 6: Final answer
    x = 47,771.41

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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.