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Finding the Fourth Proportional to 31,202.70, 46,746.45 and 29,129.10

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Solution

The fourth proportional to 31,202.70, 46,746.45 and 29,129.10 is: 43,639.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,202.70 : 46,746.45 = 29,129.10 : x
  2. Step 2: Convert to fraction form
    31,202.70/46,746.45 = 29,129.10/x
  3. Step 3: Cross multiply
    31,202.70x = 46,746.45 × 29,129.10
  4. Step 4: Simplify right side
    31,202.70x = 1,361,682,016.70
  5. Step 5: Solve for x
    x = 1,361,682,016.70/31,202.70
  6. Step 6: Final answer
    x = 43,639.88

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