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Finding the Fourth Proportional to 127,509.54, 191,249.73 and 34,022.58

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Solution

The fourth proportional to 127,509.54, 191,249.73 and 34,022.58 is: 51,029.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,509.54 : 191,249.73 = 34,022.58 : x
  2. Step 2: Convert to fraction form
    127,509.54/191,249.73 = 34,022.58/x
  3. Step 3: Cross multiply
    127,509.54x = 191,249.73 × 34,022.58
  4. Step 4: Simplify right side
    127,509.54x = 6,506,809,238.90
  5. Step 5: Solve for x
    x = 6,506,809,238.90/127,509.54
  6. Step 6: Final answer
    x = 51,029.98

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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.