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Finding the Fourth Proportional to 127,851.48, 191,777.06 and 34,357.24

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Solution

The fourth proportional to 127,851.48, 191,777.06 and 34,357.24 is: 51,535.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,851.48 : 191,777.06 = 34,357.24 : x
  2. Step 2: Convert to fraction form
    127,851.48/191,777.06 = 34,357.24/x
  3. Step 3: Cross multiply
    127,851.48x = 191,777.06 × 34,357.24
  4. Step 4: Simplify right side
    127,851.48x = 6,588,930,476.91
  5. Step 5: Solve for x
    x = 6,588,930,476.91/127,851.48
  6. Step 6: Final answer
    x = 51,535.82

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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.