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Finding the Fourth Proportional to 31,185.42, 46,776.72 and 11,462.54

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Solution

The fourth proportional to 31,185.42, 46,776.72 and 11,462.54 is: 17,193.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,185.42 : 46,776.72 = 11,462.54 : x
  2. Step 2: Convert to fraction form
    31,185.42/46,776.72 = 11,462.54/x
  3. Step 3: Cross multiply
    31,185.42x = 46,776.72 × 11,462.54
  4. Step 4: Simplify right side
    31,185.42x = 536,180,024.07
  5. Step 5: Solve for x
    x = 536,180,024.07/31,185.42
  6. Step 6: Final answer
    x = 17,193.29

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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.