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Finding the Fourth Proportional to 85,780.28, 118,393.62 and 51,794.36

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Solution

The fourth proportional to 85,780.28, 118,393.62 and 51,794.36 is: 71,486.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,780.28 : 118,393.62 = 51,794.36 : x
  2. Step 2: Convert to fraction form
    85,780.28/118,393.62 = 51,794.36/x
  3. Step 3: Cross multiply
    85,780.28x = 118,393.62 × 51,794.36
  4. Step 4: Simplify right side
    85,780.28x = 6,132,121,775.98
  5. Step 5: Solve for x
    x = 6,132,121,775.98/85,780.28
  6. Step 6: Final answer
    x = 71,486.38

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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.