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Finding the Fourth Proportional to 31,709.93, 47,306.66 and 29,138.40

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Solution

The fourth proportional to 31,709.93, 47,306.66 and 29,138.40 is: 43,470.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,709.93 : 47,306.66 = 29,138.40 : x
  2. Step 2: Convert to fraction form
    31,709.93/47,306.66 = 29,138.40/x
  3. Step 3: Cross multiply
    31,709.93x = 47,306.66 × 29,138.40
  4. Step 4: Simplify right side
    31,709.93x = 1,378,440,236.05
  5. Step 5: Solve for x
    x = 1,378,440,236.05/31,709.93
  6. Step 6: Final answer
    x = 43,470.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.