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Finding the Fourth Proportional to 53,538.96, 73,882.80 and 29,662.32

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Solution

The fourth proportional to 53,538.96, 73,882.80 and 29,662.32 is: 40,933.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,538.96 : 73,882.80 = 29,662.32 : x
  2. Step 2: Convert to fraction form
    53,538.96/73,882.80 = 29,662.32/x
  3. Step 3: Cross multiply
    53,538.96x = 73,882.80 × 29,662.32
  4. Step 4: Simplify right side
    53,538.96x = 2,191,535,256.10
  5. Step 5: Solve for x
    x = 2,191,535,256.10/53,538.96
  6. Step 6: Final answer
    x = 40,933.47

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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.