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Finding the Fourth Proportional to 76,394.46, 105,422.77 and 42,400.96

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Solution

The fourth proportional to 76,394.46, 105,422.77 and 42,400.96 is: 58,512.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,394.46 : 105,422.77 = 42,400.96 : x
  2. Step 2: Convert to fraction form
    76,394.46/105,422.77 = 42,400.96/x
  3. Step 3: Cross multiply
    76,394.46x = 105,422.77 × 42,400.96
  4. Step 4: Simplify right side
    76,394.46x = 4,470,025,914.74
  5. Step 5: Solve for x
    x = 4,470,025,914.74/76,394.46
  6. Step 6: Final answer
    x = 58,512.44

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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.