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Finding the Fourth Proportional to 57,207.82, 78,947.59 and 31,368.80

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Solution

The fourth proportional to 57,207.82, 78,947.59 and 31,368.80 is: 43,289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,207.82 : 78,947.59 = 31,368.80 : x
  2. Step 2: Convert to fraction form
    57,207.82/78,947.59 = 31,368.80/x
  3. Step 3: Cross multiply
    57,207.82x = 78,947.59 × 31,368.80
  4. Step 4: Simplify right side
    57,207.82x = 2,476,491,161.19
  5. Step 5: Solve for x
    x = 2,476,491,161.19/57,207.82
  6. Step 6: Final answer
    x = 43,289.38

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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.