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Finding the Fourth Proportional to 92,149.63, 127,170.58 and 51,866

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Solution

The fourth proportional to 92,149.63, 127,170.58 and 51,866 is: 71,577.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,149.63 : 127,170.58 = 51,866 : x
  2. Step 2: Convert to fraction form
    92,149.63/127,170.58 = 51,866/x
  3. Step 3: Cross multiply
    92,149.63x = 127,170.58 × 51,866
  4. Step 4: Simplify right side
    92,149.63x = 6,595,829,302.28
  5. Step 5: Solve for x
    x = 6,595,829,302.28/92,149.63
  6. Step 6: Final answer
    x = 71,577.38

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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.