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Finding the Fourth Proportional to 31,662.84, 47,496.96 and 8,289.24

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Solution

The fourth proportional to 31,662.84, 47,496.96 and 8,289.24 is: 12,434.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,662.84 : 47,496.96 = 8,289.24 : x
  2. Step 2: Convert to fraction form
    31,662.84/47,496.96 = 8,289.24/x
  3. Step 3: Cross multiply
    31,662.84x = 47,496.96 × 8,289.24
  4. Step 4: Simplify right side
    31,662.84x = 393,713,700.71
  5. Step 5: Solve for x
    x = 393,713,700.71/31,662.84
  6. Step 6: Final answer
    x = 12,434.57

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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.