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Finding the Fourth Proportional to 31,076.83, 46,615.20 and 7,703.27

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Solution

The fourth proportional to 31,076.83, 46,615.20 and 7,703.27 is: 11,554.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,076.83 : 46,615.20 = 7,703.27 : x
  2. Step 2: Convert to fraction form
    31,076.83/46,615.20 = 7,703.27/x
  3. Step 3: Cross multiply
    31,076.83x = 46,615.20 × 7,703.27
  4. Step 4: Simplify right side
    31,076.83x = 359,089,238.63
  5. Step 5: Solve for x
    x = 359,089,238.63/31,076.83
  6. Step 6: Final answer
    x = 11,554.89

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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.