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Finding the Fourth Proportional to 76,023.90, 113,890.05 and 46,353.60

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Solution

The fourth proportional to 76,023.90, 113,890.05 and 46,353.60 is: 69,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,023.90 : 113,890.05 = 46,353.60 : x
  2. Step 2: Convert to fraction form
    76,023.90/113,890.05 = 46,353.60/x
  3. Step 3: Cross multiply
    76,023.90x = 113,890.05 × 46,353.60
  4. Step 4: Simplify right side
    76,023.90x = 5,279,213,821.68
  5. Step 5: Solve for x
    x = 5,279,213,821.68/76,023.90
  6. Step 6: Final answer
    x = 69,441.50

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