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Finding the Fourth Proportional to 60,197.56, 82,882.56 and 53,023

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Solution

The fourth proportional to 60,197.56, 82,882.56 and 53,023 is: 73,004.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,197.56 : 82,882.56 = 53,023 : x
  2. Step 2: Convert to fraction form
    60,197.56/82,882.56 = 53,023/x
  3. Step 3: Cross multiply
    60,197.56x = 82,882.56 × 53,023
  4. Step 4: Simplify right side
    60,197.56x = 4,394,681,978.88
  5. Step 5: Solve for x
    x = 4,394,681,978.88/60,197.56
  6. Step 6: Final answer
    x = 73,004.32

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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.