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Finding the Fourth Proportional to 127,132.36, 190,707.66 and 33,637

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Solution

The fourth proportional to 127,132.36, 190,707.66 and 33,637 is: 50,457.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,132.36 : 190,707.66 = 33,637 : x
  2. Step 2: Convert to fraction form
    127,132.36/190,707.66 = 33,637/x
  3. Step 3: Cross multiply
    127,132.36x = 190,707.66 × 33,637
  4. Step 4: Simplify right side
    127,132.36x = 6,414,833,559.42
  5. Step 5: Solve for x
    x = 6,414,833,559.42/127,132.36
  6. Step 6: Final answer
    x = 50,457.91

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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.