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Finding the Fourth Proportional to 31,706.64, 43,775.64 and 19,774.80

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Solution

The fourth proportional to 31,706.64, 43,775.64 and 19,774.80 is: 27,301.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,706.64 : 43,775.64 = 19,774.80 : x
  2. Step 2: Convert to fraction form
    31,706.64/43,775.64 = 19,774.80/x
  3. Step 3: Cross multiply
    31,706.64x = 43,775.64 × 19,774.80
  4. Step 4: Simplify right side
    31,706.64x = 865,654,525.87
  5. Step 5: Solve for x
    x = 865,654,525.87/31,706.64
  6. Step 6: Final answer
    x = 27,301.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.