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Finding the Fourth Proportional to 57,914.84, 86,878.74 and 18,462.80

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Solution

The fourth proportional to 57,914.84, 86,878.74 and 18,462.80 is: 27,696.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,914.84 : 86,878.74 = 18,462.80 : x
  2. Step 2: Convert to fraction form
    57,914.84/86,878.74 = 18,462.80/x
  3. Step 3: Cross multiply
    57,914.84x = 86,878.74 × 18,462.80
  4. Step 4: Simplify right side
    57,914.84x = 1,604,024,800.87
  5. Step 5: Solve for x
    x = 1,604,024,800.87/57,914.84
  6. Step 6: Final answer
    x = 27,696.27

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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.