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Finding the Fourth Proportional to 127,182.25, 190,777.02 and 33,688

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Solution

The fourth proportional to 127,182.25, 190,777.02 and 33,688 is: 50,532.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,182.25 : 190,777.02 = 33,688 : x
  2. Step 2: Convert to fraction form
    127,182.25/190,777.02 = 33,688/x
  3. Step 3: Cross multiply
    127,182.25x = 190,777.02 × 33,688
  4. Step 4: Simplify right side
    127,182.25x = 6,426,896,249.76
  5. Step 5: Solve for x
    x = 6,426,896,249.76/127,182.25
  6. Step 6: Final answer
    x = 50,532.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.