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Finding the Fourth Proportional to 65,022.84, 89,730.42 and 36,343.20

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Solution

The fourth proportional to 65,022.84, 89,730.42 and 36,343.20 is: 50,153.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,022.84 : 89,730.42 = 36,343.20 : x
  2. Step 2: Convert to fraction form
    65,022.84/89,730.42 = 36,343.20/x
  3. Step 3: Cross multiply
    65,022.84x = 89,730.42 × 36,343.20
  4. Step 4: Simplify right side
    65,022.84x = 3,261,090,600.14
  5. Step 5: Solve for x
    x = 3,261,090,600.14/65,022.84
  6. Step 6: Final answer
    x = 50,153.00

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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.