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Finding the Fourth Proportional to 127,846.32, 191,797.16 and 48,960.54

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Solution

The fourth proportional to 127,846.32, 191,797.16 and 48,960.54 is: 73,451.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,846.32 : 191,797.16 = 48,960.54 : x
  2. Step 2: Convert to fraction form
    127,846.32/191,797.16 = 48,960.54/x
  3. Step 3: Cross multiply
    127,846.32x = 191,797.16 × 48,960.54
  4. Step 4: Simplify right side
    127,846.32x = 9,390,492,524.07
  5. Step 5: Solve for x
    x = 9,390,492,524.07/127,846.32
  6. Step 6: Final answer
    x = 73,451.41

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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.