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Finding the Fourth Proportional to 76,777.66, 115,176.21 and 30,024.46

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Solution

The fourth proportional to 76,777.66, 115,176.21 and 30,024.46 is: 45,040.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,777.66 : 115,176.21 = 30,024.46 : x
  2. Step 2: Convert to fraction form
    76,777.66/115,176.21 = 30,024.46/x
  3. Step 3: Cross multiply
    76,777.66x = 115,176.21 × 30,024.46
  4. Step 4: Simplify right side
    76,777.66x = 3,458,103,510.10
  5. Step 5: Solve for x
    x = 3,458,103,510.10/76,777.66
  6. Step 6: Final answer
    x = 45,040.49

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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.