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Finding the Fourth Proportional to 31,314.68, 46,971.92 and 7,941.06

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Solution

The fourth proportional to 31,314.68, 46,971.92 and 7,941.06 is: 11,911.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,314.68 : 46,971.92 = 7,941.06 : x
  2. Step 2: Convert to fraction form
    31,314.68/46,971.92 = 7,941.06/x
  3. Step 3: Cross multiply
    31,314.68x = 46,971.92 × 7,941.06
  4. Step 4: Simplify right side
    31,314.68x = 373,006,835.04
  5. Step 5: Solve for x
    x = 373,006,835.04/31,314.68
  6. Step 6: Final answer
    x = 11,911.56

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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.