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Finding the Fourth Proportional to 31,567.39, 43,564.04 and 17,421.55

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Solution

The fourth proportional to 31,567.39, 43,564.04 and 17,421.55 is: 24,042.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,567.39 : 43,564.04 = 17,421.55 : x
  2. Step 2: Convert to fraction form
    31,567.39/43,564.04 = 17,421.55/x
  3. Step 3: Cross multiply
    31,567.39x = 43,564.04 × 17,421.55
  4. Step 4: Simplify right side
    31,567.39x = 758,953,101.06
  5. Step 5: Solve for x
    x = 758,953,101.06/31,567.39
  6. Step 6: Final answer
    x = 24,042.31

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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.