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Finding the Fourth Proportional to 31,554.47, 43,544.47 and 17,407.31

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Solution

The fourth proportional to 31,554.47, 43,544.47 and 17,407.31 is: 24,021.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,554.47 : 43,544.47 = 17,407.31 : x
  2. Step 2: Convert to fraction form
    31,554.47/43,544.47 = 17,407.31/x
  3. Step 3: Cross multiply
    31,554.47x = 43,544.47 × 17,407.31
  4. Step 4: Simplify right side
    31,554.47x = 757,992,196.94
  5. Step 5: Solve for x
    x = 757,992,196.94/31,554.47
  6. Step 6: Final answer
    x = 24,021.70

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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.