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Finding the Fourth Proportional to 116,449.74, 174,674.70 and 49,846.77

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Solution

The fourth proportional to 116,449.74, 174,674.70 and 49,846.77 is: 74,770.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,449.74 : 174,674.70 = 49,846.77 : x
  2. Step 2: Convert to fraction form
    116,449.74/174,674.70 = 49,846.77/x
  3. Step 3: Cross multiply
    116,449.74x = 174,674.70 × 49,846.77
  4. Step 4: Simplify right side
    116,449.74x = 8,706,969,595.72
  5. Step 5: Solve for x
    x = 8,706,969,595.72/116,449.74
  6. Step 6: Final answer
    x = 74,770.19

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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.