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Finding the Fourth Proportional to 50,765.76, 76,155.90 and 15,708.14

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Solution

The fourth proportional to 50,765.76, 76,155.90 and 15,708.14 is: 23,564.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,765.76 : 76,155.90 = 15,708.14 : x
  2. Step 2: Convert to fraction form
    50,765.76/76,155.90 = 15,708.14/x
  3. Step 3: Cross multiply
    50,765.76x = 76,155.90 × 15,708.14
  4. Step 4: Simplify right side
    50,765.76x = 1,196,267,539.03
  5. Step 5: Solve for x
    x = 1,196,267,539.03/50,765.76
  6. Step 6: Final answer
    x = 23,564.46

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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.