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Finding the Fourth Proportional to 76,765.50, 115,007.94 and 55,653.15

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Solution

The fourth proportional to 76,765.50, 115,007.94 and 55,653.15 is: 83,378.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,765.50 : 115,007.94 = 55,653.15 : x
  2. Step 2: Convert to fraction form
    76,765.50/115,007.94 = 55,653.15/x
  3. Step 3: Cross multiply
    76,765.50x = 115,007.94 × 55,653.15
  4. Step 4: Simplify right side
    76,765.50x = 6,400,554,136.01
  5. Step 5: Solve for x
    x = 6,400,554,136.01/76,765.50
  6. Step 6: Final answer
    x = 83,378.00

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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.