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Finding the Fourth Proportional to 31,779.21, 47,668.47 and 7,763.73

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Solution

The fourth proportional to 31,779.21, 47,668.47 and 7,763.73 is: 11,645.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,779.21 : 47,668.47 = 7,763.73 : x
  2. Step 2: Convert to fraction form
    31,779.21/47,668.47 = 7,763.73/x
  3. Step 3: Cross multiply
    31,779.21x = 47,668.47 × 7,763.73
  4. Step 4: Simplify right side
    31,779.21x = 370,084,989.76
  5. Step 5: Solve for x
    x = 370,084,989.76/31,779.21
  6. Step 6: Final answer
    x = 11,645.51

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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.