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Finding the Fourth Proportional to 83,082, 114,653.64 and 45,356.64

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Solution

The fourth proportional to 83,082, 114,653.64 and 45,356.64 is: 62,592.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,082 : 114,653.64 = 45,356.64 : x
  2. Step 2: Convert to fraction form
    83,082/114,653.64 = 45,356.64/x
  3. Step 3: Cross multiply
    83,082x = 114,653.64 × 45,356.64
  4. Step 4: Simplify right side
    83,082x = 5,200,303,874.17
  5. Step 5: Solve for x
    x = 5,200,303,874.17/83,082
  6. Step 6: Final answer
    x = 62,592.43

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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.