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Finding the Fourth Proportional to 59,767, 82,450.76 and 38,553.10

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Solution

The fourth proportional to 59,767, 82,450.76 and 38,553.10 is: 53,185.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,767 : 82,450.76 = 38,553.10 : x
  2. Step 2: Convert to fraction form
    59,767/82,450.76 = 38,553.10/x
  3. Step 3: Cross multiply
    59,767x = 82,450.76 × 38,553.10
  4. Step 4: Simplify right side
    59,767x = 3,178,732,395.36
  5. Step 5: Solve for x
    x = 3,178,732,395.36/59,767
  6. Step 6: Final answer
    x = 53,185.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.