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Finding the Fourth Proportional to 31,054.86, 42,853.55 and 17,626.39

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Solution

The fourth proportional to 31,054.86, 42,853.55 and 17,626.39 is: 24,323.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,054.86 : 42,853.55 = 17,626.39 : x
  2. Step 2: Convert to fraction form
    31,054.86/42,853.55 = 17,626.39/x
  3. Step 3: Cross multiply
    31,054.86x = 42,853.55 × 17,626.39
  4. Step 4: Simplify right side
    31,054.86x = 755,353,189.92
  5. Step 5: Solve for x
    x = 755,353,189.92/31,054.86
  6. Step 6: Final answer
    x = 24,323.19

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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.