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Finding the Fourth Proportional to 30,777.30, 42,472.96 and 17,347.37

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Solution

The fourth proportional to 30,777.30, 42,472.96 and 17,347.37 is: 23,939.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,777.30 : 42,472.96 = 17,347.37 : x
  2. Step 2: Convert to fraction form
    30,777.30/42,472.96 = 17,347.37/x
  3. Step 3: Cross multiply
    30,777.30x = 42,472.96 × 17,347.37
  4. Step 4: Simplify right side
    30,777.30x = 736,793,896.38
  5. Step 5: Solve for x
    x = 736,793,896.38/30,777.30
  6. Step 6: Final answer
    x = 23,939.52

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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.