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Finding the Fourth Proportional to 116,477.46, 174,679.20 and 49,899.78

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Solution

The fourth proportional to 116,477.46, 174,679.20 and 49,899.78 is: 74,833.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,477.46 : 174,679.20 = 49,899.78 : x
  2. Step 2: Convert to fraction form
    116,477.46/174,679.20 = 49,899.78/x
  3. Step 3: Cross multiply
    116,477.46x = 174,679.20 × 49,899.78
  4. Step 4: Simplify right side
    116,477.46x = 8,716,453,650.58
  5. Step 5: Solve for x
    x = 8,716,453,650.58/116,477.46
  6. Step 6: Final answer
    x = 74,833.82

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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.