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Finding the Fourth Proportional to 48,974.02, 73,461.02 and 13,909.12

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Solution

The fourth proportional to 48,974.02, 73,461.02 and 13,909.12 is: 20,863.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,974.02 : 73,461.02 = 13,909.12 : x
  2. Step 2: Convert to fraction form
    48,974.02/73,461.02 = 13,909.12/x
  3. Step 3: Cross multiply
    48,974.02x = 73,461.02 × 13,909.12
  4. Step 4: Simplify right side
    48,974.02x = 1,021,778,142.50
  5. Step 5: Solve for x
    x = 1,021,778,142.50/48,974.02
  6. Step 6: Final answer
    x = 20,863.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.