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Finding the Fourth Proportional to 31,767.90, 47,651.57 and 8,075.51

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Solution

The fourth proportional to 31,767.90, 47,651.57 and 8,075.51 is: 12,113.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,767.90 : 47,651.57 = 8,075.51 : x
  2. Step 2: Convert to fraction form
    31,767.90/47,651.57 = 8,075.51/x
  3. Step 3: Cross multiply
    31,767.90x = 47,651.57 × 8,075.51
  4. Step 4: Simplify right side
    31,767.90x = 384,810,730.05
  5. Step 5: Solve for x
    x = 384,810,730.05/31,767.90
  6. Step 6: Final answer
    x = 12,113.19

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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.