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Finding the Fourth Proportional to 34,142.73, 47,116.80 and 19,035.24

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Solution

The fourth proportional to 34,142.73, 47,116.80 and 19,035.24 is: 26,268.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,142.73 : 47,116.80 = 19,035.24 : x
  2. Step 2: Convert to fraction form
    34,142.73/47,116.80 = 19,035.24/x
  3. Step 3: Cross multiply
    34,142.73x = 47,116.80 × 19,035.24
  4. Step 4: Simplify right side
    34,142.73x = 896,879,596.03
  5. Step 5: Solve for x
    x = 896,879,596.03/34,142.73
  6. Step 6: Final answer
    x = 26,268.54

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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.