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Finding the Fourth Proportional to 43,292.49, 64,932.24 and 13,706.49

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Solution

The fourth proportional to 43,292.49, 64,932.24 and 13,706.49 is: 20,557.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,292.49 : 64,932.24 = 13,706.49 : x
  2. Step 2: Convert to fraction form
    43,292.49/64,932.24 = 13,706.49/x
  3. Step 3: Cross multiply
    43,292.49x = 64,932.24 × 13,706.49
  4. Step 4: Simplify right side
    43,292.49x = 889,993,098.24
  5. Step 5: Solve for x
    x = 889,993,098.24/43,292.49
  6. Step 6: Final answer
    x = 20,557.68

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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.