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Finding the Fourth Proportional to 43,251.50, 64,877.31 and 10,419.50

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Solution

The fourth proportional to 43,251.50, 64,877.31 and 10,419.50 is: 15,629.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,251.50 : 64,877.31 = 10,419.50 : x
  2. Step 2: Convert to fraction form
    43,251.50/64,877.31 = 10,419.50/x
  3. Step 3: Cross multiply
    43,251.50x = 64,877.31 × 10,419.50
  4. Step 4: Simplify right side
    43,251.50x = 675,989,131.55
  5. Step 5: Solve for x
    x = 675,989,131.55/43,251.50
  6. Step 6: Final answer
    x = 15,629.26

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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.