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Finding the Fourth Proportional to 41,735.58, 57,650.31 and 31,106.76

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Solution

The fourth proportional to 41,735.58, 57,650.31 and 31,106.76 is: 42,968.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,735.58 : 57,650.31 = 31,106.76 : x
  2. Step 2: Convert to fraction form
    41,735.58/57,650.31 = 31,106.76/x
  3. Step 3: Cross multiply
    41,735.58x = 57,650.31 × 31,106.76
  4. Step 4: Simplify right side
    41,735.58x = 1,793,314,357.10
  5. Step 5: Solve for x
    x = 1,793,314,357.10/41,735.58
  6. Step 6: Final answer
    x = 42,968.48

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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.