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Finding the Fourth Proportional to 46,517.90, 69,738.03 and 21,575.77

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Solution

The fourth proportional to 46,517.90, 69,738.03 and 21,575.77 is: 32,345.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,517.90 : 69,738.03 = 21,575.77 : x
  2. Step 2: Convert to fraction form
    46,517.90/69,738.03 = 21,575.77/x
  3. Step 3: Cross multiply
    46,517.90x = 69,738.03 × 21,575.77
  4. Step 4: Simplify right side
    46,517.90x = 1,504,651,521.19
  5. Step 5: Solve for x
    x = 1,504,651,521.19/46,517.90
  6. Step 6: Final answer
    x = 32,345.65

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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.