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Finding the Fourth Proportional to 31,667.70, 43,671.54 and 23,619.12

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Solution

The fourth proportional to 31,667.70, 43,671.54 and 23,619.12 is: 32,572.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,667.70 : 43,671.54 = 23,619.12 : x
  2. Step 2: Convert to fraction form
    31,667.70/43,671.54 = 23,619.12/x
  3. Step 3: Cross multiply
    31,667.70x = 43,671.54 × 23,619.12
  4. Step 4: Simplify right side
    31,667.70x = 1,031,483,343.84
  5. Step 5: Solve for x
    x = 1,031,483,343.84/31,667.70
  6. Step 6: Final answer
    x = 32,572.10

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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.