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Finding the Fourth Proportional to 31,523.81, 43,503.15 and 17,377.16

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Solution

The fourth proportional to 31,523.81, 43,503.15 and 17,377.16 is: 23,980.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,523.81 : 43,503.15 = 17,377.16 : x
  2. Step 2: Convert to fraction form
    31,523.81/43,503.15 = 17,377.16/x
  3. Step 3: Cross multiply
    31,523.81x = 43,503.15 × 17,377.16
  4. Step 4: Simplify right side
    31,523.81x = 755,960,980.54
  5. Step 5: Solve for x
    x = 755,960,980.54/31,523.81
  6. Step 6: Final answer
    x = 23,980.64

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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.