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Finding the Fourth Proportional to 43,683.12, 65,506.44 and 21,506.96

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Solution

The fourth proportional to 43,683.12, 65,506.44 and 21,506.96 is: 32,251.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,683.12 : 65,506.44 = 21,506.96 : x
  2. Step 2: Convert to fraction form
    43,683.12/65,506.44 = 21,506.96/x
  3. Step 3: Cross multiply
    43,683.12x = 65,506.44 × 21,506.96
  4. Step 4: Simplify right side
    43,683.12x = 1,408,844,384.82
  5. Step 5: Solve for x
    x = 1,408,844,384.82/43,683.12
  6. Step 6: Final answer
    x = 32,251.46

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Why These Related Problems?

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