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Finding the Fourth Proportional to 31,275.06, 46,907.73 and 11,549.13

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Solution

The fourth proportional to 31,275.06, 46,907.73 and 11,549.13 is: 17,321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,275.06 : 46,907.73 = 11,549.13 : x
  2. Step 2: Convert to fraction form
    31,275.06/46,907.73 = 11,549.13/x
  3. Step 3: Cross multiply
    31,275.06x = 46,907.73 × 11,549.13
  4. Step 4: Simplify right side
    31,275.06x = 541,743,471.77
  5. Step 5: Solve for x
    x = 541,743,471.77/31,275.06
  6. Step 6: Final answer
    x = 17,321.90

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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.