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Finding the Fourth Proportional to 30,652.46, 45,984.15 and 11,942.67

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Solution

The fourth proportional to 30,652.46, 45,984.15 and 11,942.67 is: 17,916.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,652.46 : 45,984.15 = 11,942.67 : x
  2. Step 2: Convert to fraction form
    30,652.46/45,984.15 = 11,942.67/x
  3. Step 3: Cross multiply
    30,652.46x = 45,984.15 × 11,942.67
  4. Step 4: Simplify right side
    30,652.46x = 549,173,528.68
  5. Step 5: Solve for x
    x = 549,173,528.68/30,652.46
  6. Step 6: Final answer
    x = 17,916.14

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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.