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Finding the Fourth Proportional to 53,530.70, 73,871.39 and 29,657.30

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Solution

The fourth proportional to 53,530.70, 73,871.39 and 29,657.30 is: 40,926.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,530.70 : 73,871.39 = 29,657.30 : x
  2. Step 2: Convert to fraction form
    53,530.70/73,871.39 = 29,657.30/x
  3. Step 3: Cross multiply
    53,530.70x = 73,871.39 × 29,657.30
  4. Step 4: Simplify right side
    53,530.70x = 2,190,825,679.43
  5. Step 5: Solve for x
    x = 2,190,825,679.43/53,530.70
  6. Step 6: Final answer
    x = 40,926.53

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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.