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Finding the Fourth Proportional to 53,538.72, 73,884 and 29,339.70

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Solution

The fourth proportional to 53,538.72, 73,884 and 29,339.70 is: 40,489.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,538.72 : 73,884 = 29,339.70 : x
  2. Step 2: Convert to fraction form
    53,538.72/73,884 = 29,339.70/x
  3. Step 3: Cross multiply
    53,538.72x = 73,884 × 29,339.70
  4. Step 4: Simplify right side
    53,538.72x = 2,167,734,394.80
  5. Step 5: Solve for x
    x = 2,167,734,394.80/53,538.72
  6. Step 6: Final answer
    x = 40,489.10

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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.