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Finding the Fourth Proportional to 92,102.42, 127,054.82 and 53,836.97

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Solution

The fourth proportional to 92,102.42, 127,054.82 and 53,836.97 is: 74,267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,102.42 : 127,054.82 = 53,836.97 : x
  2. Step 2: Convert to fraction form
    92,102.42/127,054.82 = 53,836.97/x
  3. Step 3: Cross multiply
    92,102.42x = 127,054.82 × 53,836.97
  4. Step 4: Simplify right side
    92,102.42x = 6,840,246,032.01
  5. Step 5: Solve for x
    x = 6,840,246,032.01/92,102.42
  6. Step 6: Final answer
    x = 74,267.82

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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.