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Finding the Fourth Proportional to 31,855.70, 47,771.40 and 9,661.70

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Solution

The fourth proportional to 31,855.70, 47,771.40 and 9,661.70 is: 14,488.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,855.70 : 47,771.40 = 9,661.70 : x
  2. Step 2: Convert to fraction form
    31,855.70/47,771.40 = 9,661.70/x
  3. Step 3: Cross multiply
    31,855.70x = 47,771.40 × 9,661.70
  4. Step 4: Simplify right side
    31,855.70x = 461,552,935.38
  5. Step 5: Solve for x
    x = 461,552,935.38/31,855.70
  6. Step 6: Final answer
    x = 14,488.86

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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.