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Finding the Fourth Proportional to 51,454.83, 77,082.36 and 37,921.41

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Solution

The fourth proportional to 51,454.83, 77,082.36 and 37,921.41 is: 56,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,454.83 : 77,082.36 = 37,921.41 : x
  2. Step 2: Convert to fraction form
    51,454.83/77,082.36 = 37,921.41/x
  3. Step 3: Cross multiply
    51,454.83x = 77,082.36 × 37,921.41
  4. Step 4: Simplify right side
    51,454.83x = 2,923,071,635.12
  5. Step 5: Solve for x
    x = 2,923,071,635.12/51,454.83
  6. Step 6: Final answer
    x = 56,808.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.