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Finding the Fourth Proportional to 31,256.96, 46,870.32 and 11,544.80

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Solution

The fourth proportional to 31,256.96, 46,870.32 and 11,544.80 is: 17,311.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,256.96 : 46,870.32 = 11,544.80 : x
  2. Step 2: Convert to fraction form
    31,256.96/46,870.32 = 11,544.80/x
  3. Step 3: Cross multiply
    31,256.96x = 46,870.32 × 11,544.80
  4. Step 4: Simplify right side
    31,256.96x = 541,108,470.34
  5. Step 5: Solve for x
    x = 541,108,470.34/31,256.96
  6. Step 6: Final answer
    x = 17,311.62

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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.