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Finding the Fourth Proportional to 92,123.27, 127,129.88 and 51,837.11

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Solution

The fourth proportional to 92,123.27, 127,129.88 and 51,837.11 is: 71,535.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,123.27 : 127,129.88 = 51,837.11 : x
  2. Step 2: Convert to fraction form
    92,123.27/127,129.88 = 51,837.11/x
  3. Step 3: Cross multiply
    92,123.27x = 127,129.88 × 51,837.11
  4. Step 4: Simplify right side
    92,123.27x = 6,590,045,573.85
  5. Step 5: Solve for x
    x = 6,590,045,573.85/92,123.27
  6. Step 6: Final answer
    x = 71,535.08

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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.