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Finding the Fourth Proportional to 42,357.91, 58,456.34 and 25,596.31

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Solution

The fourth proportional to 42,357.91, 58,456.34 and 25,596.31 is: 35,324.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,357.91 : 58,456.34 = 25,596.31 : x
  2. Step 2: Convert to fraction form
    42,357.91/58,456.34 = 25,596.31/x
  3. Step 3: Cross multiply
    42,357.91x = 58,456.34 × 25,596.31
  4. Step 4: Simplify right side
    42,357.91x = 1,496,266,600.11
  5. Step 5: Solve for x
    x = 1,496,266,600.11/42,357.91
  6. Step 6: Final answer
    x = 35,324.37

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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.