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Finding the Fourth Proportional to 48,503.84, 72,757.12 and 13,446.08

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Solution

The fourth proportional to 48,503.84, 72,757.12 and 13,446.08 is: 20,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,503.84 : 72,757.12 = 13,446.08 : x
  2. Step 2: Convert to fraction form
    48,503.84/72,757.12 = 13,446.08/x
  3. Step 3: Cross multiply
    48,503.84x = 72,757.12 × 13,446.08
  4. Step 4: Simplify right side
    48,503.84x = 978,298,056.09
  5. Step 5: Solve for x
    x = 978,298,056.09/48,503.84
  6. Step 6: Final answer
    x = 20,169.50

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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.