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Finding the Fourth Proportional to 92,095.88, 127,092.92 and 51,809.31

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Solution

The fourth proportional to 92,095.88, 127,092.92 and 51,809.31 is: 71,497.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,095.88 : 127,092.92 = 51,809.31 : x
  2. Step 2: Convert to fraction form
    92,095.88/127,092.92 = 51,809.31/x
  3. Step 3: Cross multiply
    92,095.88x = 127,092.92 × 51,809.31
  4. Step 4: Simplify right side
    92,095.88x = 6,584,596,232.04
  5. Step 5: Solve for x
    x = 6,584,596,232.04/92,095.88
  6. Step 6: Final answer
    x = 71,497.19

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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.