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Finding the Fourth Proportional to 43,498.53, 65,241.32 and 13,913.28

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Solution

The fourth proportional to 43,498.53, 65,241.32 and 13,913.28 is: 20,867.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,498.53 : 65,241.32 = 13,913.28 : x
  2. Step 2: Convert to fraction form
    43,498.53/65,241.32 = 13,913.28/x
  3. Step 3: Cross multiply
    43,498.53x = 65,241.32 × 13,913.28
  4. Step 4: Simplify right side
    43,498.53x = 907,720,683.16
  5. Step 5: Solve for x
    x = 907,720,683.16/43,498.53
  6. Step 6: Final answer
    x = 20,867.85

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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.