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Finding the Fourth Proportional to 127,642.86, 191,551.77 and 44,536.86

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Solution

The fourth proportional to 127,642.86, 191,551.77 and 44,536.86 is: 66,835.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,642.86 : 191,551.77 = 44,536.86 : x
  2. Step 2: Convert to fraction form
    127,642.86/191,551.77 = 44,536.86/x
  3. Step 3: Cross multiply
    127,642.86x = 191,551.77 × 44,536.86
  4. Step 4: Simplify right side
    127,642.86x = 8,531,114,363.24
  5. Step 5: Solve for x
    x = 8,531,114,363.24/127,642.86
  6. Step 6: Final answer
    x = 66,835.81

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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.