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Finding the Fourth Proportional to 30,468.96, 45,645.12 and 24,539.76

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Solution

The fourth proportional to 30,468.96, 45,645.12 and 24,539.76 is: 36,762.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,468.96 : 45,645.12 = 24,539.76 : x
  2. Step 2: Convert to fraction form
    30,468.96/45,645.12 = 24,539.76/x
  3. Step 3: Cross multiply
    30,468.96x = 45,645.12 × 24,539.76
  4. Step 4: Simplify right side
    30,468.96x = 1,120,120,289.97
  5. Step 5: Solve for x
    x = 1,120,120,289.97/30,468.96
  6. Step 6: Final answer
    x = 36,762.67

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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.