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Finding the Fourth Proportional to 82,419.86, 113,753.97 and 48,428.34

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Solution

The fourth proportional to 82,419.86, 113,753.97 and 48,428.34 is: 66,839.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,419.86 : 113,753.97 = 48,428.34 : x
  2. Step 2: Convert to fraction form
    82,419.86/113,753.97 = 48,428.34/x
  3. Step 3: Cross multiply
    82,419.86x = 113,753.97 × 48,428.34
  4. Step 4: Simplify right side
    82,419.86x = 5,508,915,935.51
  5. Step 5: Solve for x
    x = 5,508,915,935.51/82,419.86
  6. Step 6: Final answer
    x = 66,839.67

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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.