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Finding the Fourth Proportional to 57,193.10, 78,926.49 and 31,703.31

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Solution

The fourth proportional to 57,193.10, 78,926.49 and 31,703.31 is: 43,750.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,193.10 : 78,926.49 = 31,703.31 : x
  2. Step 2: Convert to fraction form
    57,193.10/78,926.49 = 31,703.31/x
  3. Step 3: Cross multiply
    57,193.10x = 78,926.49 × 31,703.31
  4. Step 4: Simplify right side
    57,193.10x = 2,502,230,979.68
  5. Step 5: Solve for x
    x = 2,502,230,979.68/57,193.10
  6. Step 6: Final answer
    x = 43,750.57

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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.