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Finding the Fourth Proportional to 48,788.48, 73,182.80 and 13,728.16

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Solution

The fourth proportional to 48,788.48, 73,182.80 and 13,728.16 is: 20,592.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,788.48 : 73,182.80 = 13,728.16 : x
  2. Step 2: Convert to fraction form
    48,788.48/73,182.80 = 13,728.16/x
  3. Step 3: Cross multiply
    48,788.48x = 73,182.80 × 13,728.16
  4. Step 4: Simplify right side
    48,788.48x = 1,004,665,187.65
  5. Step 5: Solve for x
    x = 1,004,665,187.65/48,788.48
  6. Step 6: Final answer
    x = 20,592.26

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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.