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Finding the Fourth Proportional to 88,128, 132,192 and 22,464

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Solution

The fourth proportional to 88,128, 132,192 and 22,464 is: 33,696

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,128 : 132,192 = 22,464 : x
  2. Step 2: Convert to fraction form
    88,128/132,192 = 22,464/x
  3. Step 3: Cross multiply
    88,128x = 132,192 × 22,464
  4. Step 4: Simplify right side
    88,128x = 2,969,561,088
  5. Step 5: Solve for x
    x = 2,969,561,088/88,128
  6. Step 6: Final answer
    x = 33,696

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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.