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Finding the Fourth Proportional to 92,089.44, 127,082.16 and 51,803.19

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Solution

The fourth proportional to 92,089.44, 127,082.16 and 51,803.19 is: 71,487.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,089.44 : 127,082.16 = 51,803.19 : x
  2. Step 2: Convert to fraction form
    92,089.44/127,082.16 = 51,803.19/x
  3. Step 3: Cross multiply
    92,089.44x = 127,082.16 × 51,803.19
  4. Step 4: Simplify right side
    92,089.44x = 6,583,261,280.09
  5. Step 5: Solve for x
    x = 6,583,261,280.09/92,089.44
  6. Step 6: Final answer
    x = 71,487.69

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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.