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Finding the Fourth Proportional to 92,097.39, 127,084.11 and 51,810.33

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Solution

The fourth proportional to 92,097.39, 127,084.11 and 51,810.33 is: 71,492.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,097.39 : 127,084.11 = 51,810.33 : x
  2. Step 2: Convert to fraction form
    92,097.39/127,084.11 = 51,810.33/x
  3. Step 3: Cross multiply
    92,097.39x = 127,084.11 × 51,810.33
  4. Step 4: Simplify right side
    92,097.39x = 6,584,269,676.86
  5. Step 5: Solve for x
    x = 6,584,269,676.86/92,097.39
  6. Step 6: Final answer
    x = 71,492.47

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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.