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Finding the Fourth Proportional to 31,817.61, 47,733.03 and 9,633.06

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Solution

The fourth proportional to 31,817.61, 47,733.03 and 9,633.06 is: 14,451.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,817.61 : 47,733.03 = 9,633.06 : x
  2. Step 2: Convert to fraction form
    31,817.61/47,733.03 = 9,633.06/x
  3. Step 3: Cross multiply
    31,817.61x = 47,733.03 × 9,633.06
  4. Step 4: Simplify right side
    31,817.61x = 459,815,141.97
  5. Step 5: Solve for x
    x = 459,815,141.97/31,817.61
  6. Step 6: Final answer
    x = 14,451.59

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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.