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Finding the Fourth Proportional to 57,722.81, 86,525.44 and 36,678.41

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Solution

The fourth proportional to 57,722.81, 86,525.44 and 36,678.41 is: 54,980.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,722.81 : 86,525.44 = 36,678.41 : x
  2. Step 2: Convert to fraction form
    57,722.81/86,525.44 = 36,678.41/x
  3. Step 3: Cross multiply
    57,722.81x = 86,525.44 × 36,678.41
  4. Step 4: Simplify right side
    57,722.81x = 3,173,615,039.43
  5. Step 5: Solve for x
    x = 3,173,615,039.43/57,722.81
  6. Step 6: Final answer
    x = 54,980.26

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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.