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Finding the Fourth Proportional to 92,096.89, 127,111.11 and 57,657.64

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Solution

The fourth proportional to 92,096.89, 127,111.11 and 57,657.64 is: 79,578.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,096.89 : 127,111.11 = 57,657.64 : x
  2. Step 2: Convert to fraction form
    92,096.89/127,111.11 = 57,657.64/x
  3. Step 3: Cross multiply
    92,096.89x = 127,111.11 × 57,657.64
  4. Step 4: Simplify right side
    92,096.89x = 7,328,926,620.38
  5. Step 5: Solve for x
    x = 7,328,926,620.38/92,096.89
  6. Step 6: Final answer
    x = 79,578.44

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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.