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Finding the Fourth Proportional to 83,082.58, 114,653.37 and 45,356.83

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Solution

The fourth proportional to 83,082.58, 114,653.37 and 45,356.83 is: 62,592.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,082.58 : 114,653.37 = 45,356.83 : x
  2. Step 2: Convert to fraction form
    83,082.58/114,653.37 = 45,356.83/x
  3. Step 3: Cross multiply
    83,082.58x = 114,653.37 × 45,356.83
  4. Step 4: Simplify right side
    83,082.58x = 5,200,313,295.47
  5. Step 5: Solve for x
    x = 5,200,313,295.47/83,082.58
  6. Step 6: Final answer
    x = 62,592.10

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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.