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Finding the Fourth Proportional to 51,456, 71,009.76 and 29,100.48

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Solution

The fourth proportional to 51,456, 71,009.76 and 29,100.48 is: 40,158.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,456 : 71,009.76 = 29,100.48 : x
  2. Step 2: Convert to fraction form
    51,456/71,009.76 = 29,100.48/x
  3. Step 3: Cross multiply
    51,456x = 71,009.76 × 29,100.48
  4. Step 4: Simplify right side
    51,456x = 2,066,418,100.68
  5. Step 5: Solve for x
    x = 2,066,418,100.68/51,456
  6. Step 6: Final answer
    x = 40,158.93

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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.