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Finding the Fourth Proportional to 31,246.74, 46,876.38 and 11,525.40

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Solution

The fourth proportional to 31,246.74, 46,876.38 and 11,525.40 is: 17,290.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,246.74 : 46,876.38 = 11,525.40 : x
  2. Step 2: Convert to fraction form
    31,246.74/46,876.38 = 11,525.40/x
  3. Step 3: Cross multiply
    31,246.74x = 46,876.38 × 11,525.40
  4. Step 4: Simplify right side
    31,246.74x = 540,269,030.05
  5. Step 5: Solve for x
    x = 540,269,030.05/31,246.74
  6. Step 6: Final answer
    x = 17,290.41

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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.