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Finding the Fourth Proportional to 92,262.49, 127,295.90 and 51,962.16

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Solution

The fourth proportional to 92,262.49, 127,295.90 and 51,962.16 is: 71,692.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,262.49 : 127,295.90 = 51,962.16 : x
  2. Step 2: Convert to fraction form
    92,262.49/127,295.90 = 51,962.16/x
  3. Step 3: Cross multiply
    92,262.49x = 127,295.90 × 51,962.16
  4. Step 4: Simplify right side
    92,262.49x = 6,614,569,026.85
  5. Step 5: Solve for x
    x = 6,614,569,026.85/92,262.49
  6. Step 6: Final answer
    x = 71,692.94

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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.