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Finding the Fourth Proportional to 31,076.88, 46,576.40 and 24,477

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Solution

The fourth proportional to 31,076.88, 46,576.40 and 24,477 is: 36,684.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,076.88 : 46,576.40 = 24,477 : x
  2. Step 2: Convert to fraction form
    31,076.88/46,576.40 = 24,477/x
  3. Step 3: Cross multiply
    31,076.88x = 46,576.40 × 24,477
  4. Step 4: Simplify right side
    31,076.88x = 1,140,050,542.80
  5. Step 5: Solve for x
    x = 1,140,050,542.80/31,076.88
  6. Step 6: Final answer
    x = 36,684.85

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Why These Related Problems?

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