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Finding the Fourth Proportional to 77,662.41, 116,493.77 and 21,502.68

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Solution

The fourth proportional to 77,662.41, 116,493.77 and 21,502.68 is: 32,254.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,662.41 : 116,493.77 = 21,502.68 : x
  2. Step 2: Convert to fraction form
    77,662.41/116,493.77 = 21,502.68/x
  3. Step 3: Cross multiply
    77,662.41x = 116,493.77 × 21,502.68
  4. Step 4: Simplify right side
    77,662.41x = 2,504,928,150.79
  5. Step 5: Solve for x
    x = 2,504,928,150.79/77,662.41
  6. Step 6: Final answer
    x = 32,254.06

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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.