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Finding the Fourth Proportional to 122,448, 183,672 and 48,576

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Solution

The fourth proportional to 122,448, 183,672 and 48,576 is: 72,864

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,448 : 183,672 = 48,576 : x
  2. Step 2: Convert to fraction form
    122,448/183,672 = 48,576/x
  3. Step 3: Cross multiply
    122,448x = 183,672 × 48,576
  4. Step 4: Simplify right side
    122,448x = 8,922,051,072
  5. Step 5: Solve for x
    x = 8,922,051,072/122,448
  6. Step 6: Final answer
    x = 72,864

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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.