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Finding the Fourth Proportional to 51,305, 70,755.54 and 33,383.48

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Solution

The fourth proportional to 51,305, 70,755.54 and 33,383.48 is: 46,039.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,305 : 70,755.54 = 33,383.48 : x
  2. Step 2: Convert to fraction form
    51,305/70,755.54 = 33,383.48/x
  3. Step 3: Cross multiply
    51,305x = 70,755.54 × 33,383.48
  4. Step 4: Simplify right side
    51,305x = 2,362,066,154.48
  5. Step 5: Solve for x
    x = 2,362,066,154.48/51,305
  6. Step 6: Final answer
    x = 46,039.69

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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.