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Finding the Fourth Proportional to 82,908.20, 114,416.39 and 47,104.29

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Solution

The fourth proportional to 82,908.20, 114,416.39 and 47,104.29 is: 65,005.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,908.20 : 114,416.39 = 47,104.29 : x
  2. Step 2: Convert to fraction form
    82,908.20/114,416.39 = 47,104.29/x
  3. Step 3: Cross multiply
    82,908.20x = 114,416.39 × 47,104.29
  4. Step 4: Simplify right side
    82,908.20x = 5,389,502,933.07
  5. Step 5: Solve for x
    x = 5,389,502,933.07/82,908.20
  6. Step 6: Final answer
    x = 65,005.67

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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.