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Finding the Fourth Proportional to 77,114.56, 115,671.84 and 24,524.04

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Solution

The fourth proportional to 77,114.56, 115,671.84 and 24,524.04 is: 36,786.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,114.56 : 115,671.84 = 24,524.04 : x
  2. Step 2: Convert to fraction form
    77,114.56/115,671.84 = 24,524.04/x
  3. Step 3: Cross multiply
    77,114.56x = 115,671.84 × 24,524.04
  4. Step 4: Simplify right side
    77,114.56x = 2,836,740,831.03
  5. Step 5: Solve for x
    x = 2,836,740,831.03/77,114.56
  6. Step 6: Final answer
    x = 36,786.06

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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.