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Finding the Fourth Proportional to 92,216.16, 127,256.64 and 51,930

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Solution

The fourth proportional to 92,216.16, 127,256.64 and 51,930 is: 71,662.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,216.16 : 127,256.64 = 51,930 : x
  2. Step 2: Convert to fraction form
    92,216.16/127,256.64 = 51,930/x
  3. Step 3: Cross multiply
    92,216.16x = 127,256.64 × 51,930
  4. Step 4: Simplify right side
    92,216.16x = 6,608,437,315.20
  5. Step 5: Solve for x
    x = 6,608,437,315.20/92,216.16
  6. Step 6: Final answer
    x = 71,662.46

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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.