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Finding the Fourth Proportional to 31,090.08, 46,625.04 and 10,308

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Solution

The fourth proportional to 31,090.08, 46,625.04 and 10,308 is: 15,458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,090.08 : 46,625.04 = 10,308 : x
  2. Step 2: Convert to fraction form
    31,090.08/46,625.04 = 10,308/x
  3. Step 3: Cross multiply
    31,090.08x = 46,625.04 × 10,308
  4. Step 4: Simplify right side
    31,090.08x = 480,610,912.32
  5. Step 5: Solve for x
    x = 480,610,912.32/31,090.08
  6. Step 6: Final answer
    x = 15,458.66

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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.