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Finding the Fourth Proportional to 31,774.70, 43,760.30 and 31,085.94

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Solution

The fourth proportional to 31,774.70, 43,760.30 and 31,085.94 is: 42,811.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,774.70 : 43,760.30 = 31,085.94 : x
  2. Step 2: Convert to fraction form
    31,774.70/43,760.30 = 31,085.94/x
  3. Step 3: Cross multiply
    31,774.70x = 43,760.30 × 31,085.94
  4. Step 4: Simplify right side
    31,774.70x = 1,360,330,060.18
  5. Step 5: Solve for x
    x = 1,360,330,060.18/31,774.70
  6. Step 6: Final answer
    x = 42,811.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.