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Finding the Fourth Proportional to 34,403.19, 47,478.32 and 25,890

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Solution

The fourth proportional to 34,403.19, 47,478.32 and 25,890 is: 35,729.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,403.19 : 47,478.32 = 25,890 : x
  2. Step 2: Convert to fraction form
    34,403.19/47,478.32 = 25,890/x
  3. Step 3: Cross multiply
    34,403.19x = 47,478.32 × 25,890
  4. Step 4: Simplify right side
    34,403.19x = 1,229,213,704.80
  5. Step 5: Solve for x
    x = 1,229,213,704.80/34,403.19
  6. Step 6: Final answer
    x = 35,729.64

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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.