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Finding the Fourth Proportional to 116,633.63, 174,978.21 and 37,747.86

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Solution

The fourth proportional to 116,633.63, 174,978.21 and 37,747.86 is: 56,630.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,633.63 : 174,978.21 = 37,747.86 : x
  2. Step 2: Convert to fraction form
    116,633.63/174,978.21 = 37,747.86/x
  3. Step 3: Cross multiply
    116,633.63x = 174,978.21 × 37,747.86
  4. Step 4: Simplify right side
    116,633.63x = 6,605,052,716.82
  5. Step 5: Solve for x
    x = 6,605,052,716.82/116,633.63
  6. Step 6: Final answer
    x = 56,630.77

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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.