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Finding the Fourth Proportional to 48,503.96, 72,747.84 and 13,447.16

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Solution

The fourth proportional to 48,503.96, 72,747.84 and 13,447.16 is: 20,168.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,503.96 : 72,747.84 = 13,447.16 : x
  2. Step 2: Convert to fraction form
    48,503.96/72,747.84 = 13,447.16/x
  3. Step 3: Cross multiply
    48,503.96x = 72,747.84 × 13,447.16
  4. Step 4: Simplify right side
    48,503.96x = 978,251,844.13
  5. Step 5: Solve for x
    x = 978,251,844.13/48,503.96
  6. Step 6: Final answer
    x = 20,168.49

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1.5x scale

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.