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Finding the Fourth Proportional to 30,859.86, 46,282.56 and 8,675.35

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Solution

The fourth proportional to 30,859.86, 46,282.56 and 8,675.35 is: 13,010.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,859.86 : 46,282.56 = 8,675.35 : x
  2. Step 2: Convert to fraction form
    30,859.86/46,282.56 = 8,675.35/x
  3. Step 3: Cross multiply
    30,859.86x = 46,282.56 × 8,675.35
  4. Step 4: Simplify right side
    30,859.86x = 401,517,406.90
  5. Step 5: Solve for x
    x = 401,517,406.90/30,859.86
  6. Step 6: Final answer
    x = 13,010.99

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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.