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Finding the Fourth Proportional to 76,883, 106,098.54 and 41,555

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Solution

The fourth proportional to 76,883, 106,098.54 and 41,555 is: 57,345.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,883 : 106,098.54 = 41,555 : x
  2. Step 2: Convert to fraction form
    76,883/106,098.54 = 41,555/x
  3. Step 3: Cross multiply
    76,883x = 106,098.54 × 41,555
  4. Step 4: Simplify right side
    76,883x = 4,408,924,829.70
  5. Step 5: Solve for x
    x = 4,408,924,829.70/76,883
  6. Step 6: Final answer
    x = 57,345.90

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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.