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Finding the Fourth Proportional to 76,634.45, 114,950.34 and 34,484.70

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Solution

The fourth proportional to 76,634.45, 114,950.34 and 34,484.70 is: 51,726.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,634.45 : 114,950.34 = 34,484.70 : x
  2. Step 2: Convert to fraction form
    76,634.45/114,950.34 = 34,484.70/x
  3. Step 3: Cross multiply
    76,634.45x = 114,950.34 × 34,484.70
  4. Step 4: Simplify right side
    76,634.45x = 3,964,027,989.80
  5. Step 5: Solve for x
    x = 3,964,027,989.80/76,634.45
  6. Step 6: Final answer
    x = 51,726.45

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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.