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Finding the Fourth Proportional to 31,419.42, 43,368.90 and 20,119.32

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Solution

The fourth proportional to 31,419.42, 43,368.90 and 20,119.32 is: 27,771.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,419.42 : 43,368.90 = 20,119.32 : x
  2. Step 2: Convert to fraction form
    31,419.42/43,368.90 = 20,119.32/x
  3. Step 3: Cross multiply
    31,419.42x = 43,368.90 × 20,119.32
  4. Step 4: Simplify right side
    31,419.42x = 872,552,777.15
  5. Step 5: Solve for x
    x = 872,552,777.15/31,419.42
  6. Step 6: Final answer
    x = 27,771.13

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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.