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Finding the Fourth Proportional to 92,082.32, 127,074.90 and 54,356.56

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Solution

The fourth proportional to 92,082.32, 127,074.90 and 54,356.56 is: 75,012.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,082.32 : 127,074.90 = 54,356.56 : x
  2. Step 2: Convert to fraction form
    92,082.32/127,074.90 = 54,356.56/x
  3. Step 3: Cross multiply
    92,082.32x = 127,074.90 × 54,356.56
  4. Step 4: Simplify right side
    92,082.32x = 6,907,354,426.34
  5. Step 5: Solve for x
    x = 6,907,354,426.34/92,082.32
  6. Step 6: Final answer
    x = 75,012.82

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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.