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Finding the Fourth Proportional to 53,976, 74,487.01 and 30,104.22

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Solution

The fourth proportional to 53,976, 74,487.01 and 30,104.22 is: 41,543.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,976 : 74,487.01 = 30,104.22 : x
  2. Step 2: Convert to fraction form
    53,976/74,487.01 = 30,104.22/x
  3. Step 3: Cross multiply
    53,976x = 74,487.01 × 30,104.22
  4. Step 4: Simplify right side
    53,976x = 2,242,372,813.23
  5. Step 5: Solve for x
    x = 2,242,372,813.23/53,976
  6. Step 6: Final answer
    x = 41,543.89

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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.