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Finding the Fourth Proportional to 31,390.86, 43,319.16 and 17,243.40

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Solution

The fourth proportional to 31,390.86, 43,319.16 and 17,243.40 is: 23,795.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,390.86 : 43,319.16 = 17,243.40 : x
  2. Step 2: Convert to fraction form
    31,390.86/43,319.16 = 17,243.40/x
  3. Step 3: Cross multiply
    31,390.86x = 43,319.16 × 17,243.40
  4. Step 4: Simplify right side
    31,390.86x = 746,969,603.54
  5. Step 5: Solve for x
    x = 746,969,603.54/31,390.86
  6. Step 6: Final answer
    x = 23,795.77

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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.