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Finding the Fourth Proportional to 52,462.56, 78,682.20 and 15,022.50

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Solution

The fourth proportional to 52,462.56, 78,682.20 and 15,022.50 is: 22,530.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,462.56 : 78,682.20 = 15,022.50 : x
  2. Step 2: Convert to fraction form
    52,462.56/78,682.20 = 15,022.50/x
  3. Step 3: Cross multiply
    52,462.56x = 78,682.20 × 15,022.50
  4. Step 4: Simplify right side
    52,462.56x = 1,182,003,349.50
  5. Step 5: Solve for x
    x = 1,182,003,349.50/52,462.56
  6. Step 6: Final answer
    x = 22,530.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.