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Finding the Fourth Proportional to 31,707.60, 47,520.08 and 17,667.06

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Solution

The fourth proportional to 31,707.60, 47,520.08 and 17,667.06 is: 26,477.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,707.60 : 47,520.08 = 17,667.06 : x
  2. Step 2: Convert to fraction form
    31,707.60/47,520.08 = 17,667.06/x
  3. Step 3: Cross multiply
    31,707.60x = 47,520.08 × 17,667.06
  4. Step 4: Simplify right side
    31,707.60x = 839,540,104.56
  5. Step 5: Solve for x
    x = 839,540,104.56/31,707.60
  6. Step 6: Final answer
    x = 26,477.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.