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Finding the Fourth Proportional to 34,590.41, 51,853.70 and 13,544.78

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Solution

The fourth proportional to 34,590.41, 51,853.70 and 13,544.78 is: 20,304.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,590.41 : 51,853.70 = 13,544.78 : x
  2. Step 2: Convert to fraction form
    34,590.41/51,853.70 = 13,544.78/x
  3. Step 3: Cross multiply
    34,590.41x = 51,853.70 × 13,544.78
  4. Step 4: Simplify right side
    34,590.41x = 702,347,122.18
  5. Step 5: Solve for x
    x = 702,347,122.18/34,590.41
  6. Step 6: Final answer
    x = 20,304.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.