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Finding the Fourth Proportional to 82,836, 114,324.48 and 49,302

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Solution

The fourth proportional to 82,836, 114,324.48 and 49,302 is: 68,043.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,836 : 114,324.48 = 49,302 : x
  2. Step 2: Convert to fraction form
    82,836/114,324.48 = 49,302/x
  3. Step 3: Cross multiply
    82,836x = 114,324.48 × 49,302
  4. Step 4: Simplify right side
    82,836x = 5,636,425,512.96
  5. Step 5: Solve for x
    x = 5,636,425,512.96/82,836
  6. Step 6: Final answer
    x = 68,043.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.