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Finding the Fourth Proportional to 53,571.34, 73,920.68 and 29,698

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Solution

The fourth proportional to 53,571.34, 73,920.68 and 29,698 is: 40,978.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,571.34 : 73,920.68 = 29,698 : x
  2. Step 2: Convert to fraction form
    53,571.34/73,920.68 = 29,698/x
  3. Step 3: Cross multiply
    53,571.34x = 73,920.68 × 29,698
  4. Step 4: Simplify right side
    53,571.34x = 2,195,296,354.64
  5. Step 5: Solve for x
    x = 2,195,296,354.64/53,571.34
  6. Step 6: Final answer
    x = 40,978.93

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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.