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Finding the Fourth Proportional to 76,311.39, 105,313.11 and 42,317.59

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Solution

The fourth proportional to 76,311.39, 105,313.11 and 42,317.59 is: 58,400.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,311.39 : 105,313.11 = 42,317.59 : x
  2. Step 2: Convert to fraction form
    76,311.39/105,313.11 = 42,317.59/x
  3. Step 3: Cross multiply
    76,311.39x = 105,313.11 × 42,317.59
  4. Step 4: Simplify right side
    76,311.39x = 4,456,597,010.60
  5. Step 5: Solve for x
    x = 4,456,597,010.60/76,311.39
  6. Step 6: Final answer
    x = 58,400.16

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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.