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Finding the Fourth Proportional to 76,206.39, 105,129.81 and 49,357.86

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Solution

The fourth proportional to 76,206.39, 105,129.81 and 49,357.86 is: 68,091.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,206.39 : 105,129.81 = 49,357.86 : x
  2. Step 2: Convert to fraction form
    76,206.39/105,129.81 = 49,357.86/x
  3. Step 3: Cross multiply
    76,206.39x = 105,129.81 × 49,357.86
  4. Step 4: Simplify right side
    76,206.39x = 5,188,982,443.81
  5. Step 5: Solve for x
    x = 5,188,982,443.81/76,206.39
  6. Step 6: Final answer
    x = 68,091.17

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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.