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Finding the Fourth Proportional to 31,096.87, 46,653.35 and 8,911.87

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Solution

The fourth proportional to 31,096.87, 46,653.35 and 8,911.87 is: 13,370.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,096.87 : 46,653.35 = 8,911.87 : x
  2. Step 2: Convert to fraction form
    31,096.87/46,653.35 = 8,911.87/x
  3. Step 3: Cross multiply
    31,096.87x = 46,653.35 × 8,911.87
  4. Step 4: Simplify right side
    31,096.87x = 415,768,429.07
  5. Step 5: Solve for x
    x = 415,768,429.07/31,096.87
  6. Step 6: Final answer
    x = 13,370.11

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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.