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Finding the Fourth Proportional to 51,858.94, 77,722.80 and 33,131.74

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Solution

The fourth proportional to 51,858.94, 77,722.80 and 33,131.74 is: 49,655.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,858.94 : 77,722.80 = 33,131.74 : x
  2. Step 2: Convert to fraction form
    51,858.94/77,722.80 = 33,131.74/x
  3. Step 3: Cross multiply
    51,858.94x = 77,722.80 × 33,131.74
  4. Step 4: Simplify right side
    51,858.94x = 2,575,091,601.67
  5. Step 5: Solve for x
    x = 2,575,091,601.67/51,858.94
  6. Step 6: Final answer
    x = 49,655.69

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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.