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Finding the Fourth Proportional to 65,384.28, 90,233.31 and 36,312.78

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Solution

The fourth proportional to 65,384.28, 90,233.31 and 36,312.78 is: 50,113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,384.28 : 90,233.31 = 36,312.78 : x
  2. Step 2: Convert to fraction form
    65,384.28/90,233.31 = 36,312.78/x
  3. Step 3: Cross multiply
    65,384.28x = 90,233.31 × 36,312.78
  4. Step 4: Simplify right side
    65,384.28x = 3,276,622,153.14
  5. Step 5: Solve for x
    x = 3,276,622,153.14/65,384.28
  6. Step 6: Final answer
    x = 50,113.30

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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.