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Finding the Fourth Proportional to 34,024.63, 46,956.62 and 20,413.19

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Solution

The fourth proportional to 34,024.63, 46,956.62 and 20,413.19 is: 28,171.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,024.63 : 46,956.62 = 20,413.19 : x
  2. Step 2: Convert to fraction form
    34,024.63/46,956.62 = 20,413.19/x
  3. Step 3: Cross multiply
    34,024.63x = 46,956.62 × 20,413.19
  4. Step 4: Simplify right side
    34,024.63x = 958,534,171.03
  5. Step 5: Solve for x
    x = 958,534,171.03/34,024.63
  6. Step 6: Final answer
    x = 28,171.77

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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.