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Finding the Fourth Proportional to 31,209.54, 46,765.14 and 11,460.96

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Solution

The fourth proportional to 31,209.54, 46,765.14 and 11,460.96 is: 17,173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,209.54 : 46,765.14 = 11,460.96 : x
  2. Step 2: Convert to fraction form
    31,209.54/46,765.14 = 11,460.96/x
  3. Step 3: Cross multiply
    31,209.54x = 46,765.14 × 11,460.96
  4. Step 4: Simplify right side
    31,209.54x = 535,973,398.93
  5. Step 5: Solve for x
    x = 535,973,398.93/31,209.54
  6. Step 6: Final answer
    x = 17,173.38

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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.