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Finding the Fourth Proportional to 32,591.84, 48,887.94 and 11,814.80

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Solution

The fourth proportional to 32,591.84, 48,887.94 and 11,814.80 is: 17,722.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,591.84 : 48,887.94 = 11,814.80 : x
  2. Step 2: Convert to fraction form
    32,591.84/48,887.94 = 11,814.80/x
  3. Step 3: Cross multiply
    32,591.84x = 48,887.94 × 11,814.80
  4. Step 4: Simplify right side
    32,591.84x = 577,601,233.51
  5. Step 5: Solve for x
    x = 577,601,233.51/32,591.84
  6. Step 6: Final answer
    x = 17,722.27

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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.