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Finding the Fourth Proportional to 34,153.40, 51,217.81 and 14,433.50

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Solution

The fourth proportional to 34,153.40, 51,217.81 and 14,433.50 is: 21,645.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,153.40 : 51,217.81 = 14,433.50 : x
  2. Step 2: Convert to fraction form
    34,153.40/51,217.81 = 14,433.50/x
  3. Step 3: Cross multiply
    34,153.40x = 51,217.81 × 14,433.50
  4. Step 4: Simplify right side
    34,153.40x = 739,252,352.60
  5. Step 5: Solve for x
    x = 739,252,352.60/34,153.40
  6. Step 6: Final answer
    x = 21,645.06

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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.