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Finding the Fourth Proportional to 31,085.10, 46,648.07 and 17,054.96

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Solution

The fourth proportional to 31,085.10, 46,648.07 and 17,054.96 is: 25,593.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,085.10 : 46,648.07 = 17,054.96 : x
  2. Step 2: Convert to fraction form
    31,085.10/46,648.07 = 17,054.96/x
  3. Step 3: Cross multiply
    31,085.10x = 46,648.07 × 17,054.96
  4. Step 4: Simplify right side
    31,085.10x = 795,580,713.37
  5. Step 5: Solve for x
    x = 795,580,713.37/31,085.10
  6. Step 6: Final answer
    x = 25,593.64

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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.