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Finding the Fourth Proportional to 76,517.90, 114,788.73 and 39,057.68

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Solution

The fourth proportional to 76,517.90, 114,788.73 and 39,057.68 is: 58,592.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,517.90 : 114,788.73 = 39,057.68 : x
  2. Step 2: Convert to fraction form
    76,517.90/114,788.73 = 39,057.68/x
  3. Step 3: Cross multiply
    76,517.90x = 114,788.73 × 39,057.68
  4. Step 4: Simplify right side
    76,517.90x = 4,483,381,483.95
  5. Step 5: Solve for x
    x = 4,483,381,483.95/76,517.90
  6. Step 6: Final answer
    x = 58,592.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.