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Finding the Fourth Proportional to 127,711.72, 191,576.22 and 48,834.28

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Solution

The fourth proportional to 127,711.72, 191,576.22 and 48,834.28 is: 73,254.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,711.72 : 191,576.22 = 48,834.28 : x
  2. Step 2: Convert to fraction form
    127,711.72/191,576.22 = 48,834.28/x
  3. Step 3: Cross multiply
    127,711.72x = 191,576.22 × 48,834.28
  4. Step 4: Simplify right side
    127,711.72x = 9,355,486,768.82
  5. Step 5: Solve for x
    x = 9,355,486,768.82/127,711.72
  6. Step 6: Final answer
    x = 73,254.72

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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.