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Finding the Fourth Proportional to 42,150.40, 58,169.24 and 24,245.40

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Solution

The fourth proportional to 42,150.40, 58,169.24 and 24,245.40 is: 33,459.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,150.40 : 58,169.24 = 24,245.40 : x
  2. Step 2: Convert to fraction form
    42,150.40/58,169.24 = 24,245.40/x
  3. Step 3: Cross multiply
    42,150.40x = 58,169.24 × 24,245.40
  4. Step 4: Simplify right side
    42,150.40x = 1,410,336,491.50
  5. Step 5: Solve for x
    x = 1,410,336,491.50/42,150.40
  6. Step 6: Final answer
    x = 33,459.62

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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.