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Finding the Fourth Proportional to 31,960.51, 47,940.75 and 9,773.89

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Solution

The fourth proportional to 31,960.51, 47,940.75 and 9,773.89 is: 14,660.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,960.51 : 47,940.75 = 9,773.89 : x
  2. Step 2: Convert to fraction form
    31,960.51/47,940.75 = 9,773.89/x
  3. Step 3: Cross multiply
    31,960.51x = 47,940.75 × 9,773.89
  4. Step 4: Simplify right side
    31,960.51x = 468,567,497.17
  5. Step 5: Solve for x
    x = 468,567,497.17/31,960.51
  6. Step 6: Final answer
    x = 14,660.83

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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.