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Finding the Fourth Proportional to 77,866, 116,872.84 and 48,194.08

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Solution

The fourth proportional to 77,866, 116,872.84 and 48,194.08 is: 72,336.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,866 : 116,872.84 = 48,194.08 : x
  2. Step 2: Convert to fraction form
    77,866/116,872.84 = 48,194.08/x
  3. Step 3: Cross multiply
    77,866x = 116,872.84 × 48,194.08
  4. Step 4: Simplify right side
    77,866x = 5,632,579,000.79
  5. Step 5: Solve for x
    x = 5,632,579,000.79/77,866
  6. Step 6: Final answer
    x = 72,336.82

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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.