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Finding the Fourth Proportional to 38,698.50, 57,992.16 and 29,779.20

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Solution

The fourth proportional to 38,698.50, 57,992.16 and 29,779.20 is: 44,626.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,698.50 : 57,992.16 = 29,779.20 : x
  2. Step 2: Convert to fraction form
    38,698.50/57,992.16 = 29,779.20/x
  3. Step 3: Cross multiply
    38,698.50x = 57,992.16 × 29,779.20
  4. Step 4: Simplify right side
    38,698.50x = 1,726,960,131.07
  5. Step 5: Solve for x
    x = 1,726,960,131.07/38,698.50
  6. Step 6: Final answer
    x = 44,626.02

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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.