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Finding the Fourth Proportional to 82,205.79, 113,402.20 and 49,931.82

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Solution

The fourth proportional to 82,205.79, 113,402.20 and 49,931.82 is: 68,880.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,205.79 : 113,402.20 = 49,931.82 : x
  2. Step 2: Convert to fraction form
    82,205.79/113,402.20 = 49,931.82/x
  3. Step 3: Cross multiply
    82,205.79x = 113,402.20 × 49,931.82
  4. Step 4: Simplify right side
    82,205.79x = 5,662,378,071.12
  5. Step 5: Solve for x
    x = 5,662,378,071.12/82,205.79
  6. Step 6: Final answer
    x = 68,880.53

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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.