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Finding the Fourth Proportional to 127,992.54, 191,975.85 and 34,507.74

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Solution

The fourth proportional to 127,992.54, 191,975.85 and 34,507.74 is: 51,758.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,992.54 : 191,975.85 = 34,507.74 : x
  2. Step 2: Convert to fraction form
    127,992.54/191,975.85 = 34,507.74/x
  3. Step 3: Cross multiply
    127,992.54x = 191,975.85 × 34,507.74
  4. Step 4: Simplify right side
    127,992.54x = 6,624,652,718.08
  5. Step 5: Solve for x
    x = 6,624,652,718.08/127,992.54
  6. Step 6: Final answer
    x = 51,758.12

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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.