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Finding the Fourth Proportional to 127,642.50, 191,551.23 and 44,536.50

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Solution

The fourth proportional to 127,642.50, 191,551.23 and 44,536.50 is: 66,835.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,642.50 : 191,551.23 = 44,536.50 : x
  2. Step 2: Convert to fraction form
    127,642.50/191,551.23 = 44,536.50/x
  3. Step 3: Cross multiply
    127,642.50x = 191,551.23 × 44,536.50
  4. Step 4: Simplify right side
    127,642.50x = 8,531,021,354.90
  5. Step 5: Solve for x
    x = 8,531,021,354.90/127,642.50
  6. Step 6: Final answer
    x = 66,835.27

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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.