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Finding the Fourth Proportional to 32,128, 44,364 and 20,211.28

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Solution

The fourth proportional to 32,128, 44,364 and 20,211.28 is: 27,908.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,128 : 44,364 = 20,211.28 : x
  2. Step 2: Convert to fraction form
    32,128/44,364 = 20,211.28/x
  3. Step 3: Cross multiply
    32,128x = 44,364 × 20,211.28
  4. Step 4: Simplify right side
    32,128x = 896,653,225.92
  5. Step 5: Solve for x
    x = 896,653,225.92/32,128
  6. Step 6: Final answer
    x = 27,908.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.