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Finding the Fourth Proportional to 45,829, 68,754.22 and 14,237.44

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Solution

The fourth proportional to 45,829, 68,754.22 and 14,237.44 is: 21,359.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,829 : 68,754.22 = 14,237.44 : x
  2. Step 2: Convert to fraction form
    45,829/68,754.22 = 14,237.44/x
  3. Step 3: Cross multiply
    45,829x = 68,754.22 × 14,237.44
  4. Step 4: Simplify right side
    45,829x = 978,884,082.00
  5. Step 5: Solve for x
    x = 978,884,082.00/45,829
  6. Step 6: Final answer
    x = 21,359.49

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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.