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Finding the Fourth Proportional to 32,842.23, 49,266.06 and 14,122.71

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Solution

The fourth proportional to 32,842.23, 49,266.06 and 14,122.71 is: 21,185.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,842.23 : 49,266.06 = 14,122.71 : x
  2. Step 2: Convert to fraction form
    32,842.23/49,266.06 = 14,122.71/x
  3. Step 3: Cross multiply
    32,842.23x = 49,266.06 × 14,122.71
  4. Step 4: Simplify right side
    32,842.23x = 695,770,278.22
  5. Step 5: Solve for x
    x = 695,770,278.22/32,842.23
  6. Step 6: Final answer
    x = 21,185.23

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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.