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Finding the Fourth Proportional to 34,525.44, 47,641.22 and 19,417.78

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Solution

The fourth proportional to 34,525.44, 47,641.22 and 19,417.78 is: 26,794.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,525.44 : 47,641.22 = 19,417.78 : x
  2. Step 2: Convert to fraction form
    34,525.44/47,641.22 = 19,417.78/x
  3. Step 3: Cross multiply
    34,525.44x = 47,641.22 × 19,417.78
  4. Step 4: Simplify right side
    34,525.44x = 925,086,728.89
  5. Step 5: Solve for x
    x = 925,086,728.89/34,525.44
  6. Step 6: Final answer
    x = 26,794.35

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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.