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Finding the Fourth Proportional to 65,770.56, 98,631.54 and 23,639.31

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Solution

The fourth proportional to 65,770.56, 98,631.54 and 23,639.31 is: 35,450.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,770.56 : 98,631.54 = 23,639.31 : x
  2. Step 2: Convert to fraction form
    65,770.56/98,631.54 = 23,639.31/x
  3. Step 3: Cross multiply
    65,770.56x = 98,631.54 × 23,639.31
  4. Step 4: Simplify right side
    65,770.56x = 2,331,581,549.84
  5. Step 5: Solve for x
    x = 2,331,581,549.84/65,770.56
  6. Step 6: Final answer
    x = 35,450.23

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Why These Related Problems?

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