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Finding the Fourth Proportional to 48,493.46, 72,740.19 and 13,433.12

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Solution

The fourth proportional to 48,493.46, 72,740.19 and 13,433.12 is: 20,149.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,493.46 : 72,740.19 = 13,433.12 : x
  2. Step 2: Convert to fraction form
    48,493.46/72,740.19 = 13,433.12/x
  3. Step 3: Cross multiply
    48,493.46x = 72,740.19 × 13,433.12
  4. Step 4: Simplify right side
    48,493.46x = 977,127,337.39
  5. Step 5: Solve for x
    x = 977,127,337.39/48,493.46
  6. Step 6: Final answer
    x = 20,149.67

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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.