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Finding the Fourth Proportional to 86,453.20, 119,315.68 and 48,219

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Solution

The fourth proportional to 86,453.20, 119,315.68 and 48,219 is: 66,547.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,453.20 : 119,315.68 = 48,219 : x
  2. Step 2: Convert to fraction form
    86,453.20/119,315.68 = 48,219/x
  3. Step 3: Cross multiply
    86,453.20x = 119,315.68 × 48,219
  4. Step 4: Simplify right side
    86,453.20x = 5,753,282,773.92
  5. Step 5: Solve for x
    x = 5,753,282,773.92/86,453.20
  6. Step 6: Final answer
    x = 66,547.94

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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.