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Finding the Fourth Proportional to 77,872.80, 116,674.80 and 36,234.40

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Solution

The fourth proportional to 77,872.80, 116,674.80 and 36,234.40 is: 54,289.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,872.80 : 116,674.80 = 36,234.40 : x
  2. Step 2: Convert to fraction form
    77,872.80/116,674.80 = 36,234.40/x
  3. Step 3: Cross multiply
    77,872.80x = 116,674.80 × 36,234.40
  4. Step 4: Simplify right side
    77,872.80x = 4,227,641,373.12
  5. Step 5: Solve for x
    x = 4,227,641,373.12/77,872.80
  6. Step 6: Final answer
    x = 54,289.06

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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.