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Finding the Fourth Proportional to 65,318.19, 98,020.89 and 23,765.19

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Solution

The fourth proportional to 65,318.19, 98,020.89 and 23,765.19 is: 35,663.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,318.19 : 98,020.89 = 23,765.19 : x
  2. Step 2: Convert to fraction form
    65,318.19/98,020.89 = 23,765.19/x
  3. Step 3: Cross multiply
    65,318.19x = 98,020.89 × 23,765.19
  4. Step 4: Simplify right side
    65,318.19x = 2,329,485,074.82
  5. Step 5: Solve for x
    x = 2,329,485,074.82/65,318.19
  6. Step 6: Final answer
    x = 35,663.65

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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.