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Finding the Fourth Proportional to 92,096.22, 127,092.58 and 51,810

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Solution

The fourth proportional to 92,096.22, 127,092.58 and 51,810 is: 71,497.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,096.22 : 127,092.58 = 51,810 : x
  2. Step 2: Convert to fraction form
    92,096.22/127,092.58 = 51,810/x
  3. Step 3: Cross multiply
    92,096.22x = 127,092.58 × 51,810
  4. Step 4: Simplify right side
    92,096.22x = 6,584,666,569.80
  5. Step 5: Solve for x
    x = 6,584,666,569.80/92,096.22
  6. Step 6: Final answer
    x = 71,497.69

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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.