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Finding the Fourth Proportional to 31,090, 46,635.32 and 17,268.08

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Solution

The fourth proportional to 31,090, 46,635.32 and 17,268.08 is: 25,902.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,090 : 46,635.32 = 17,268.08 : x
  2. Step 2: Convert to fraction form
    31,090/46,635.32 = 17,268.08/x
  3. Step 3: Cross multiply
    31,090x = 46,635.32 × 17,268.08
  4. Step 4: Simplify right side
    31,090x = 805,302,436.59
  5. Step 5: Solve for x
    x = 805,302,436.59/31,090
  6. Step 6: Final answer
    x = 25,902.30

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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.