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Finding the Fourth Proportional to 31,218.40, 43,078.80 and 17,071.20

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Solution

The fourth proportional to 31,218.40, 43,078.80 and 17,071.20 is: 23,556.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,218.40 : 43,078.80 = 17,071.20 : x
  2. Step 2: Convert to fraction form
    31,218.40/43,078.80 = 17,071.20/x
  3. Step 3: Cross multiply
    31,218.40x = 43,078.80 × 17,071.20
  4. Step 4: Simplify right side
    31,218.40x = 735,406,810.56
  5. Step 5: Solve for x
    x = 735,406,810.56/31,218.40
  6. Step 6: Final answer
    x = 23,556.84

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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.