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Finding the Fourth Proportional to 32,589.84, 48,884.94 and 11,812.80

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Solution

The fourth proportional to 32,589.84, 48,884.94 and 11,812.80 is: 17,719.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,589.84 : 48,884.94 = 11,812.80 : x
  2. Step 2: Convert to fraction form
    32,589.84/48,884.94 = 11,812.80/x
  3. Step 3: Cross multiply
    32,589.84x = 48,884.94 × 11,812.80
  4. Step 4: Simplify right side
    32,589.84x = 577,468,019.23
  5. Step 5: Solve for x
    x = 577,468,019.23/32,589.84
  6. Step 6: Final answer
    x = 17,719.27

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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.