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Finding the Fourth Proportional to 77,659.80, 116,489.81 and 23,624.96

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Solution

The fourth proportional to 77,659.80, 116,489.81 and 23,624.96 is: 35,437.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,659.80 : 116,489.81 = 23,624.96 : x
  2. Step 2: Convert to fraction form
    77,659.80/116,489.81 = 23,624.96/x
  3. Step 3: Cross multiply
    77,659.80x = 116,489.81 × 23,624.96
  4. Step 4: Simplify right side
    77,659.80x = 2,752,066,401.08
  5. Step 5: Solve for x
    x = 2,752,066,401.08/77,659.80
  6. Step 6: Final answer
    x = 35,437.46

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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.