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Finding the Fourth Proportional to 127,993.54, 191,977.35 and 34,508.74

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Solution

The fourth proportional to 127,993.54, 191,977.35 and 34,508.74 is: 51,759.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,993.54 : 191,977.35 = 34,508.74 : x
  2. Step 2: Convert to fraction form
    127,993.54/191,977.35 = 34,508.74/x
  3. Step 3: Cross multiply
    127,993.54x = 191,977.35 × 34,508.74
  4. Step 4: Simplify right side
    127,993.54x = 6,624,896,457.04
  5. Step 5: Solve for x
    x = 6,624,896,457.04/127,993.54
  6. Step 6: Final answer
    x = 51,759.62

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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.