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Finding the Fourth Proportional to 92,648.48, 127,855.12 and 50,207

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Solution

The fourth proportional to 92,648.48, 127,855.12 and 50,207 is: 69,285.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,648.48 : 127,855.12 = 50,207 : x
  2. Step 2: Convert to fraction form
    92,648.48/127,855.12 = 50,207/x
  3. Step 3: Cross multiply
    92,648.48x = 127,855.12 × 50,207
  4. Step 4: Simplify right side
    92,648.48x = 6,419,222,009.84
  5. Step 5: Solve for x
    x = 6,419,222,009.84/92,648.48
  6. Step 6: Final answer
    x = 69,285.78

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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.