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Finding the Fourth Proportional to 84,816, 127,224 and 26,448

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Solution

The fourth proportional to 84,816, 127,224 and 26,448 is: 39,672

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,816 : 127,224 = 26,448 : x
  2. Step 2: Convert to fraction form
    84,816/127,224 = 26,448/x
  3. Step 3: Cross multiply
    84,816x = 127,224 × 26,448
  4. Step 4: Simplify right side
    84,816x = 3,364,820,352
  5. Step 5: Solve for x
    x = 3,364,820,352/84,816
  6. Step 6: Final answer
    x = 39,672

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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.