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Finding the Fourth Proportional to 127,919.53, 191,880.51 and 49,015

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Solution

The fourth proportional to 127,919.53, 191,880.51 and 49,015 is: 73,522.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,919.53 : 191,880.51 = 49,015 : x
  2. Step 2: Convert to fraction form
    127,919.53/191,880.51 = 49,015/x
  3. Step 3: Cross multiply
    127,919.53x = 191,880.51 × 49,015
  4. Step 4: Simplify right side
    127,919.53x = 9,405,023,197.65
  5. Step 5: Solve for x
    x = 9,405,023,197.65/127,919.53
  6. Step 6: Final answer
    x = 73,522.97

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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.