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Finding the Fourth Proportional to 76,984.56, 115,484.13 and 30,226.50

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Solution

The fourth proportional to 76,984.56, 115,484.13 and 30,226.50 is: 45,342.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,984.56 : 115,484.13 = 30,226.50 : x
  2. Step 2: Convert to fraction form
    76,984.56/115,484.13 = 30,226.50/x
  3. Step 3: Cross multiply
    76,984.56x = 115,484.13 × 30,226.50
  4. Step 4: Simplify right side
    76,984.56x = 3,490,681,055.45
  5. Step 5: Solve for x
    x = 3,490,681,055.45/76,984.56
  6. Step 6: Final answer
    x = 45,342.61

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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.