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Finding the Fourth Proportional to 76,205.13, 105,214.43 and 47,568.39

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Solution

The fourth proportional to 76,205.13, 105,214.43 and 47,568.39 is: 65,676.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,205.13 : 105,214.43 = 47,568.39 : x
  2. Step 2: Convert to fraction form
    76,205.13/105,214.43 = 47,568.39/x
  3. Step 3: Cross multiply
    76,205.13x = 105,214.43 × 47,568.39
  4. Step 4: Simplify right side
    76,205.13x = 5,004,881,039.87
  5. Step 5: Solve for x
    x = 5,004,881,039.87/76,205.13
  6. Step 6: Final answer
    x = 65,676.43

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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.