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Finding the Fourth Proportional to 92,642.58, 127,829.91 and 51,807.46

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Solution

The fourth proportional to 92,642.58, 127,829.91 and 51,807.46 is: 71,484.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,642.58 : 127,829.91 = 51,807.46 : x
  2. Step 2: Convert to fraction form
    92,642.58/127,829.91 = 51,807.46/x
  3. Step 3: Cross multiply
    92,642.58x = 127,829.91 × 51,807.46
  4. Step 4: Simplify right side
    92,642.58x = 6,622,542,949.13
  5. Step 5: Solve for x
    x = 6,622,542,949.13/92,642.58
  6. Step 6: Final answer
    x = 71,484.87

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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.