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Finding the Fourth Proportional to 31,157.39, 43,002.14 and 19,815.06

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Solution

The fourth proportional to 31,157.39, 43,002.14 and 19,815.06 is: 27,347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,157.39 : 43,002.14 = 19,815.06 : x
  2. Step 2: Convert to fraction form
    31,157.39/43,002.14 = 19,815.06/x
  3. Step 3: Cross multiply
    31,157.39x = 43,002.14 × 19,815.06
  4. Step 4: Simplify right side
    31,157.39x = 852,089,885.15
  5. Step 5: Solve for x
    x = 852,089,885.15/31,157.39
  6. Step 6: Final answer
    x = 27,347.92

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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.