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Finding the Fourth Proportional to 76,954.33, 106,257.09 and 59,020.93

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Solution

The fourth proportional to 76,954.33, 106,257.09 and 59,020.93 is: 81,494.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,954.33 : 106,257.09 = 59,020.93 : x
  2. Step 2: Convert to fraction form
    76,954.33/106,257.09 = 59,020.93/x
  3. Step 3: Cross multiply
    76,954.33x = 106,257.09 × 59,020.93
  4. Step 4: Simplify right side
    76,954.33x = 6,271,392,270.89
  5. Step 5: Solve for x
    x = 6,271,392,270.89/76,954.33
  6. Step 6: Final answer
    x = 81,494.99

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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.