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Finding the Fourth Proportional to 85,978.40, 118,647.86 and 51,542.60

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Solution

The fourth proportional to 85,978.40, 118,647.86 and 51,542.60 is: 71,127.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,978.40 : 118,647.86 = 51,542.60 : x
  2. Step 2: Convert to fraction form
    85,978.40/118,647.86 = 51,542.60/x
  3. Step 3: Cross multiply
    85,978.40x = 118,647.86 × 51,542.60
  4. Step 4: Simplify right side
    85,978.40x = 6,115,418,337.88
  5. Step 5: Solve for x
    x = 6,115,418,337.88/85,978.40
  6. Step 6: Final answer
    x = 71,127.38

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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.