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Finding the Fourth Proportional to 76,825, 106,047.66 and 51,689.08

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Solution

The fourth proportional to 76,825, 106,047.66 and 51,689.08 is: 71,350.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,825 : 106,047.66 = 51,689.08 : x
  2. Step 2: Convert to fraction form
    76,825/106,047.66 = 51,689.08/x
  3. Step 3: Cross multiply
    76,825x = 106,047.66 × 51,689.08
  4. Step 4: Simplify right side
    76,825x = 5,481,505,981.55
  5. Step 5: Solve for x
    x = 5,481,505,981.55/76,825
  6. Step 6: Final answer
    x = 71,350.55

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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.