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Finding the Fourth Proportional to 31,029.34, 46,193.03 and 30,844.81

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Solution

The fourth proportional to 31,029.34, 46,193.03 and 30,844.81 is: 45,918.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,029.34 : 46,193.03 = 30,844.81 : x
  2. Step 2: Convert to fraction form
    31,029.34/46,193.03 = 30,844.81/x
  3. Step 3: Cross multiply
    31,029.34x = 46,193.03 × 30,844.81
  4. Step 4: Simplify right side
    31,029.34x = 1,424,815,233.67
  5. Step 5: Solve for x
    x = 1,424,815,233.67/31,029.34
  6. Step 6: Final answer
    x = 45,918.32

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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.