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Finding the Fourth Proportional to 39,321.34, 54,264.09 and 21,416.69

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Solution

The fourth proportional to 39,321.34, 54,264.09 and 21,416.69 is: 29,555.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,321.34 : 54,264.09 = 21,416.69 : x
  2. Step 2: Convert to fraction form
    39,321.34/54,264.09 = 21,416.69/x
  3. Step 3: Cross multiply
    39,321.34x = 54,264.09 × 21,416.69
  4. Step 4: Simplify right side
    39,321.34x = 1,162,157,409.63
  5. Step 5: Solve for x
    x = 1,162,157,409.63/39,321.34
  6. Step 6: Final answer
    x = 29,555.39

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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.