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Finding the Fourth Proportional to 76,208.70, 114,313.05 and 48,215.10

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Solution

The fourth proportional to 76,208.70, 114,313.05 and 48,215.10 is: 72,322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,208.70 : 114,313.05 = 48,215.10 : x
  2. Step 2: Convert to fraction form
    76,208.70/114,313.05 = 48,215.10/x
  3. Step 3: Cross multiply
    76,208.70x = 114,313.05 × 48,215.10
  4. Step 4: Simplify right side
    76,208.70x = 5,511,615,137.06
  5. Step 5: Solve for x
    x = 5,511,615,137.06/76,208.70
  6. Step 6: Final answer
    x = 72,322.65

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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.