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Finding the Fourth Proportional to 32,842.18, 49,254.27 and 11,778.31

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Solution

The fourth proportional to 32,842.18, 49,254.27 and 11,778.31 is: 17,664.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,842.18 : 49,254.27 = 11,778.31 : x
  2. Step 2: Convert to fraction form
    32,842.18/49,254.27 = 11,778.31/x
  3. Step 3: Cross multiply
    32,842.18x = 49,254.27 × 11,778.31
  4. Step 4: Simplify right side
    32,842.18x = 580,132,060.88
  5. Step 5: Solve for x
    x = 580,132,060.88/32,842.18
  6. Step 6: Final answer
    x = 17,664.24

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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.