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Finding the Fourth Proportional to 86,454.20, 119,317.06 and 48,220

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Solution

The fourth proportional to 86,454.20, 119,317.06 and 48,220 is: 66,549.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,454.20 : 119,317.06 = 48,220 : x
  2. Step 2: Convert to fraction form
    86,454.20/119,317.06 = 48,220/x
  3. Step 3: Cross multiply
    86,454.20x = 119,317.06 × 48,220
  4. Step 4: Simplify right side
    86,454.20x = 5,753,468,633.20
  5. Step 5: Solve for x
    x = 5,753,468,633.20/86,454.20
  6. Step 6: Final answer
    x = 66,549.32

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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.