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Finding the Fourth Proportional to 65,298.96, 97,949.52 and 18,550.08

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Solution

The fourth proportional to 65,298.96, 97,949.52 and 18,550.08 is: 27,825.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,298.96 : 97,949.52 = 18,550.08 : x
  2. Step 2: Convert to fraction form
    65,298.96/97,949.52 = 18,550.08/x
  3. Step 3: Cross multiply
    65,298.96x = 97,949.52 × 18,550.08
  4. Step 4: Simplify right side
    65,298.96x = 1,816,971,431.96
  5. Step 5: Solve for x
    x = 1,816,971,431.96/65,298.96
  6. Step 6: Final answer
    x = 27,825.43

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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.