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Finding the Fourth Proportional to 52,146.56, 78,219.02 and 20,981

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Solution

The fourth proportional to 52,146.56, 78,219.02 and 20,981 is: 31,471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,146.56 : 78,219.02 = 20,981 : x
  2. Step 2: Convert to fraction form
    52,146.56/78,219.02 = 20,981/x
  3. Step 3: Cross multiply
    52,146.56x = 78,219.02 × 20,981
  4. Step 4: Simplify right side
    52,146.56x = 1,641,113,258.62
  5. Step 5: Solve for x
    x = 1,641,113,258.62/52,146.56
  6. Step 6: Final answer
    x = 31,471.17

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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.