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Finding the Fourth Proportional to 53,997.68, 74,518.26 and 30,129

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Solution

The fourth proportional to 53,997.68, 74,518.26 and 30,129 is: 41,578.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,997.68 : 74,518.26 = 30,129 : x
  2. Step 2: Convert to fraction form
    53,997.68/74,518.26 = 30,129/x
  3. Step 3: Cross multiply
    53,997.68x = 74,518.26 × 30,129
  4. Step 4: Simplify right side
    53,997.68x = 2,245,160,655.54
  5. Step 5: Solve for x
    x = 2,245,160,655.54/53,997.68
  6. Step 6: Final answer
    x = 41,578.84

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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.