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Finding the Fourth Proportional to 53,768.09, 74,192.92 and 29,890

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Solution

The fourth proportional to 53,768.09, 74,192.92 and 29,890 is: 41,244.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,768.09 : 74,192.92 = 29,890 : x
  2. Step 2: Convert to fraction form
    53,768.09/74,192.92 = 29,890/x
  3. Step 3: Cross multiply
    53,768.09x = 74,192.92 × 29,890
  4. Step 4: Simplify right side
    53,768.09x = 2,217,626,378.80
  5. Step 5: Solve for x
    x = 2,217,626,378.80/53,768.09
  6. Step 6: Final answer
    x = 41,244.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.