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Finding the Fourth Proportional to 31,883.76, 47,823.98 and 9,696.64

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Solution

The fourth proportional to 31,883.76, 47,823.98 and 9,696.64 is: 14,544.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,883.76 : 47,823.98 = 9,696.64 : x
  2. Step 2: Convert to fraction form
    31,883.76/47,823.98 = 9,696.64/x
  3. Step 3: Cross multiply
    31,883.76x = 47,823.98 × 9,696.64
  4. Step 4: Simplify right side
    31,883.76x = 463,731,917.43
  5. Step 5: Solve for x
    x = 463,731,917.43/31,883.76
  6. Step 6: Final answer
    x = 14,544.46

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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.