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Finding the Fourth Proportional to 31,416.50, 43,342.75 and 23,259.53

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Solution

The fourth proportional to 31,416.50, 43,342.75 and 23,259.53 is: 32,089.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,416.50 : 43,342.75 = 23,259.53 : x
  2. Step 2: Convert to fraction form
    31,416.50/43,342.75 = 23,259.53/x
  3. Step 3: Cross multiply
    31,416.50x = 43,342.75 × 23,259.53
  4. Step 4: Simplify right side
    31,416.50x = 1,008,131,993.91
  5. Step 5: Solve for x
    x = 1,008,131,993.91/31,416.50
  6. Step 6: Final answer
    x = 32,089.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.