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Finding the Fourth Proportional to 92,213.76, 127,265.28 and 54,497.28

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Solution

The fourth proportional to 92,213.76, 127,265.28 and 54,497.28 is: 75,212.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,213.76 : 127,265.28 = 54,497.28 : x
  2. Step 2: Convert to fraction form
    92,213.76/127,265.28 = 54,497.28/x
  3. Step 3: Cross multiply
    92,213.76x = 127,265.28 × 54,497.28
  4. Step 4: Simplify right side
    92,213.76x = 6,935,611,598.44
  5. Step 5: Solve for x
    x = 6,935,611,598.44/92,213.76
  6. Step 6: Final answer
    x = 75,212.33

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Why These Related Problems?

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