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Finding the Fourth Proportional to 51,498.96, 71,054.28 and 29,142.48

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Solution

The fourth proportional to 51,498.96, 71,054.28 and 29,142.48 is: 40,208.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,498.96 : 71,054.28 = 29,142.48 : x
  2. Step 2: Convert to fraction form
    51,498.96/71,054.28 = 29,142.48/x
  3. Step 3: Cross multiply
    51,498.96x = 71,054.28 × 29,142.48
  4. Step 4: Simplify right side
    51,498.96x = 2,070,697,933.81
  5. Step 5: Solve for x
    x = 2,070,697,933.81/51,498.96
  6. Step 6: Final answer
    x = 40,208.54

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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.