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Finding the Fourth Proportional to 76,953.80, 115,416.12 and 27,022.16

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Solution

The fourth proportional to 76,953.80, 115,416.12 and 27,022.16 is: 40,528.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,953.80 : 115,416.12 = 27,022.16 : x
  2. Step 2: Convert to fraction form
    76,953.80/115,416.12 = 27,022.16/x
  3. Step 3: Cross multiply
    76,953.80x = 115,416.12 × 27,022.16
  4. Step 4: Simplify right side
    76,953.80x = 3,118,792,861.22
  5. Step 5: Solve for x
    x = 3,118,792,861.22/76,953.80
  6. Step 6: Final answer
    x = 40,528.12

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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.