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Finding the Fourth Proportional to 82,338.66, 113,585.49 and 52,073.01

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Solution

The fourth proportional to 82,338.66, 113,585.49 and 52,073.01 is: 71,834.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,338.66 : 113,585.49 = 52,073.01 : x
  2. Step 2: Convert to fraction form
    82,338.66/113,585.49 = 52,073.01/x
  3. Step 3: Cross multiply
    82,338.66x = 113,585.49 × 52,073.01
  4. Step 4: Simplify right side
    82,338.66x = 5,914,738,356.62
  5. Step 5: Solve for x
    x = 5,914,738,356.62/82,338.66
  6. Step 6: Final answer
    x = 71,834.28

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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.