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Finding the Fourth Proportional to 30,196.46, 45,283.90 and 12,421.92

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Solution

The fourth proportional to 30,196.46, 45,283.90 and 12,421.92 is: 18,628.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,196.46 : 45,283.90 = 12,421.92 : x
  2. Step 2: Convert to fraction form
    30,196.46/45,283.90 = 12,421.92/x
  3. Step 3: Cross multiply
    30,196.46x = 45,283.90 × 12,421.92
  4. Step 4: Simplify right side
    30,196.46x = 562,512,983.09
  5. Step 5: Solve for x
    x = 562,512,983.09/30,196.46
  6. Step 6: Final answer
    x = 18,628.44

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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.