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Finding the Fourth Proportional to 38,163.48, 52,658.79 and 23,046

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Solution

The fourth proportional to 38,163.48, 52,658.79 and 23,046 is: 31,799.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,163.48 : 52,658.79 = 23,046 : x
  2. Step 2: Convert to fraction form
    38,163.48/52,658.79 = 23,046/x
  3. Step 3: Cross multiply
    38,163.48x = 52,658.79 × 23,046
  4. Step 4: Simplify right side
    38,163.48x = 1,213,574,474.34
  5. Step 5: Solve for x
    x = 1,213,574,474.34/38,163.48
  6. Step 6: Final answer
    x = 31,799.37

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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.