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Finding the Fourth Proportional to 31,960.60, 47,940.91 and 9,773.98

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Solution

The fourth proportional to 31,960.60, 47,940.91 and 9,773.98 is: 14,660.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,960.60 : 47,940.91 = 9,773.98 : x
  2. Step 2: Convert to fraction form
    31,960.60/47,940.91 = 9,773.98/x
  3. Step 3: Cross multiply
    31,960.60x = 47,940.91 × 9,773.98
  4. Step 4: Simplify right side
    31,960.60x = 468,573,495.52
  5. Step 5: Solve for x
    x = 468,573,495.52/31,960.60
  6. Step 6: Final answer
    x = 14,660.97

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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.