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Finding the Fourth Proportional to 31,283.54, 46,920.42 and 10,223.41

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Solution

The fourth proportional to 31,283.54, 46,920.42 and 10,223.41 is: 15,333.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,283.54 : 46,920.42 = 10,223.41 : x
  2. Step 2: Convert to fraction form
    31,283.54/46,920.42 = 10,223.41/x
  3. Step 3: Cross multiply
    31,283.54x = 46,920.42 × 10,223.41
  4. Step 4: Simplify right side
    31,283.54x = 479,686,842.42
  5. Step 5: Solve for x
    x = 479,686,842.42/31,283.54
  6. Step 6: Final answer
    x = 15,333.52

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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.