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Finding the Fourth Proportional to 31,303.25, 46,955.23 and 11,314.26

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Solution

The fourth proportional to 31,303.25, 46,955.23 and 11,314.26 is: 16,971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,303.25 : 46,955.23 = 11,314.26 : x
  2. Step 2: Convert to fraction form
    31,303.25/46,955.23 = 11,314.26/x
  3. Step 3: Cross multiply
    31,303.25x = 46,955.23 × 11,314.26
  4. Step 4: Simplify right side
    31,303.25x = 531,263,563.19
  5. Step 5: Solve for x
    x = 531,263,563.19/31,303.25
  6. Step 6: Final answer
    x = 16,971.52

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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.