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Finding the Fourth Proportional to 82,974.98, 114,488.31 and 48,513.08

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Solution

The fourth proportional to 82,974.98, 114,488.31 and 48,513.08 is: 66,938.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,974.98 : 114,488.31 = 48,513.08 : x
  2. Step 2: Convert to fraction form
    82,974.98/114,488.31 = 48,513.08/x
  3. Step 3: Cross multiply
    82,974.98x = 114,488.31 × 48,513.08
  4. Step 4: Simplify right side
    82,974.98x = 5,554,180,229.80
  5. Step 5: Solve for x
    x = 5,554,180,229.80/82,974.98
  6. Step 6: Final answer
    x = 66,938.01

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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.