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Finding the Fourth Proportional to 31,950.44, 47,925.65 and 8,576.87

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Solution

The fourth proportional to 31,950.44, 47,925.65 and 8,576.87 is: 12,865.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,950.44 : 47,925.65 = 8,576.87 : x
  2. Step 2: Convert to fraction form
    31,950.44/47,925.65 = 8,576.87/x
  3. Step 3: Cross multiply
    31,950.44x = 47,925.65 × 8,576.87
  4. Step 4: Simplify right side
    31,950.44x = 411,052,281.32
  5. Step 5: Solve for x
    x = 411,052,281.32/31,950.44
  6. Step 6: Final answer
    x = 12,865.31

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1.5x scale

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.