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Finding the Fourth Proportional to 77,767.20, 116,661.12 and 25,164

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Solution

The fourth proportional to 77,767.20, 116,661.12 and 25,164 is: 37,749.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,767.20 : 116,661.12 = 25,164 : x
  2. Step 2: Convert to fraction form
    77,767.20/116,661.12 = 25,164/x
  3. Step 3: Cross multiply
    77,767.20x = 116,661.12 × 25,164
  4. Step 4: Simplify right side
    77,767.20x = 2,935,660,423.68
  5. Step 5: Solve for x
    x = 2,935,660,423.68/77,767.20
  6. Step 6: Final answer
    x = 37,749.34

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