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Finding the Fourth Proportional to 31,757.40, 47,538.90 and 23,009.40

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Solution

The fourth proportional to 31,757.40, 47,538.90 and 23,009.40 is: 34,443.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,757.40 : 47,538.90 = 23,009.40 : x
  2. Step 2: Convert to fraction form
    31,757.40/47,538.90 = 23,009.40/x
  3. Step 3: Cross multiply
    31,757.40x = 47,538.90 × 23,009.40
  4. Step 4: Simplify right side
    31,757.40x = 1,093,841,565.66
  5. Step 5: Solve for x
    x = 1,093,841,565.66/31,757.40
  6. Step 6: Final answer
    x = 34,443.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.