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Finding the Fourth Proportional to 30,397.09, 41,948.27 and 17,478.31

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Solution

The fourth proportional to 30,397.09, 41,948.27 and 17,478.31 is: 24,120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,397.09 : 41,948.27 = 17,478.31 : x
  2. Step 2: Convert to fraction form
    30,397.09/41,948.27 = 17,478.31/x
  3. Step 3: Cross multiply
    30,397.09x = 41,948.27 × 17,478.31
  4. Step 4: Simplify right side
    30,397.09x = 733,184,867.02
  5. Step 5: Solve for x
    x = 733,184,867.02/30,397.09
  6. Step 6: Final answer
    x = 24,120.23

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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.