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Finding the Fourth Proportional to 48,509.52, 72,767.52 and 13,446.24

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Solution

The fourth proportional to 48,509.52, 72,767.52 and 13,446.24 is: 20,170.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,509.52 : 72,767.52 = 13,446.24 : x
  2. Step 2: Convert to fraction form
    48,509.52/72,767.52 = 13,446.24/x
  3. Step 3: Cross multiply
    48,509.52x = 72,767.52 × 13,446.24
  4. Step 4: Simplify right side
    48,509.52x = 978,449,538.12
  5. Step 5: Solve for x
    x = 978,449,538.12/48,509.52
  6. Step 6: Final answer
    x = 20,170.26

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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.