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Finding the Fourth Proportional to 86,548.32, 119,438.82 and 48,825

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Solution

The fourth proportional to 86,548.32, 119,438.82 and 48,825 is: 67,379.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,548.32 : 119,438.82 = 48,825 : x
  2. Step 2: Convert to fraction form
    86,548.32/119,438.82 = 48,825/x
  3. Step 3: Cross multiply
    86,548.32x = 119,438.82 × 48,825
  4. Step 4: Simplify right side
    86,548.32x = 5,831,600,386.50
  5. Step 5: Solve for x
    x = 5,831,600,386.50/86,548.32
  6. Step 6: Final answer
    x = 67,379.71

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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.