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Finding the Fourth Proportional to 53,538.90, 73,885.14 and 29,668.20

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Solution

The fourth proportional to 53,538.90, 73,885.14 and 29,668.20 is: 40,942.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,538.90 : 73,885.14 = 29,668.20 : x
  2. Step 2: Convert to fraction form
    53,538.90/73,885.14 = 29,668.20/x
  3. Step 3: Cross multiply
    53,538.90x = 73,885.14 × 29,668.20
  4. Step 4: Simplify right side
    53,538.90x = 2,192,039,110.55
  5. Step 5: Solve for x
    x = 2,192,039,110.55/53,538.90
  6. Step 6: Final answer
    x = 40,942.92

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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.