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Finding the Fourth Proportional to 77,667.20, 116,503.20 and 25,082

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Solution

The fourth proportional to 77,667.20, 116,503.20 and 25,082 is: 37,623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,667.20 : 116,503.20 = 25,082 : x
  2. Step 2: Convert to fraction form
    77,667.20/116,503.20 = 25,082/x
  3. Step 3: Cross multiply
    77,667.20x = 116,503.20 × 25,082
  4. Step 4: Simplify right side
    77,667.20x = 2,922,133,262.40
  5. Step 5: Solve for x
    x = 2,922,133,262.40/77,667.20
  6. Step 6: Final answer
    x = 37,623.78

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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.