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Finding the Fourth Proportional to 34,402.19, 47,476.94 and 25,889

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Solution

The fourth proportional to 34,402.19, 47,476.94 and 25,889 is: 35,728.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,402.19 : 47,476.94 = 25,889 : x
  2. Step 2: Convert to fraction form
    34,402.19/47,476.94 = 25,889/x
  3. Step 3: Cross multiply
    34,402.19x = 47,476.94 × 25,889
  4. Step 4: Simplify right side
    34,402.19x = 1,229,130,499.66
  5. Step 5: Solve for x
    x = 1,229,130,499.66/34,402.19
  6. Step 6: Final answer
    x = 35,728.26

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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.