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Finding the Fourth Proportional to 31,048.46, 46,576.00 and 13,280.95

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Solution

The fourth proportional to 31,048.46, 46,576.00 and 13,280.95 is: 19,922.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,048.46 : 46,576.00 = 13,280.95 : x
  2. Step 2: Convert to fraction form
    31,048.46/46,576.00 = 13,280.95/x
  3. Step 3: Cross multiply
    31,048.46x = 46,576.00 × 13,280.95
  4. Step 4: Simplify right side
    31,048.46x = 618,573,460.80
  5. Step 5: Solve for x
    x = 618,573,460.80/31,048.46
  6. Step 6: Final answer
    x = 19,922.84

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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.