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Finding the Fourth Proportional to 53,608.34, 73,978.97 and 29,734.94

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Solution

The fourth proportional to 53,608.34, 73,978.97 and 29,734.94 is: 41,033.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,608.34 : 73,978.97 = 29,734.94 : x
  2. Step 2: Convert to fraction form
    53,608.34/73,978.97 = 29,734.94/x
  3. Step 3: Cross multiply
    53,608.34x = 73,978.97 × 29,734.94
  4. Step 4: Simplify right side
    53,608.34x = 2,199,759,715.64
  5. Step 5: Solve for x
    x = 2,199,759,715.64/53,608.34
  6. Step 6: Final answer
    x = 41,033.91

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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.