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Finding the Fourth Proportional to 38,268.51, 52,814.15 and 23,164.93

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Solution

The fourth proportional to 38,268.51, 52,814.15 and 23,164.93 is: 31,969.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,268.51 : 52,814.15 = 23,164.93 : x
  2. Step 2: Convert to fraction form
    38,268.51/52,814.15 = 23,164.93/x
  3. Step 3: Cross multiply
    38,268.51x = 52,814.15 × 23,164.93
  4. Step 4: Simplify right side
    38,268.51x = 1,223,436,087.76
  5. Step 5: Solve for x
    x = 1,223,436,087.76/38,268.51
  6. Step 6: Final answer
    x = 31,969.79

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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.