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Finding the Fourth Proportional to 53,541.53, 73,886.42 and 29,342.30

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Solution

The fourth proportional to 53,541.53, 73,886.42 and 29,342.30 is: 40,491.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,541.53 : 73,886.42 = 29,342.30 : x
  2. Step 2: Convert to fraction form
    53,541.53/73,886.42 = 29,342.30/x
  3. Step 3: Cross multiply
    53,541.53x = 73,886.42 × 29,342.30
  4. Step 4: Simplify right side
    53,541.53x = 2,167,997,354.85
  5. Step 5: Solve for x
    x = 2,167,997,354.85/53,541.53
  6. Step 6: Final answer
    x = 40,491.89

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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.