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Finding the Fourth Proportional to 53,542.08, 73,951.11 and 42,824.16

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Solution

The fourth proportional to 53,542.08, 73,951.11 and 42,824.16 is: 59,147.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,542.08 : 73,951.11 = 42,824.16 : x
  2. Step 2: Convert to fraction form
    53,542.08/73,951.11 = 42,824.16/x
  3. Step 3: Cross multiply
    53,542.08x = 73,951.11 × 42,824.16
  4. Step 4: Simplify right side
    53,542.08x = 3,166,894,166.82
  5. Step 5: Solve for x
    x = 3,166,894,166.82/53,542.08
  6. Step 6: Final answer
    x = 59,147.76

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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.