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Finding the Fourth Proportional to 31,656.50, 43,683.04 and 17,509.04

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Solution

The fourth proportional to 31,656.50, 43,683.04 and 17,509.04 is: 24,160.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,656.50 : 43,683.04 = 17,509.04 : x
  2. Step 2: Convert to fraction form
    31,656.50/43,683.04 = 17,509.04/x
  3. Step 3: Cross multiply
    31,656.50x = 43,683.04 × 17,509.04
  4. Step 4: Simplify right side
    31,656.50x = 764,848,160.12
  5. Step 5: Solve for x
    x = 764,848,160.12/31,656.50
  6. Step 6: Final answer
    x = 24,160.85

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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.