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Finding the Fourth Proportional to 37,884.40, 56,824.55 and 11,589.14

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Solution

The fourth proportional to 37,884.40, 56,824.55 and 11,589.14 is: 17,383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,884.40 : 56,824.55 = 11,589.14 : x
  2. Step 2: Convert to fraction form
    37,884.40/56,824.55 = 11,589.14/x
  3. Step 3: Cross multiply
    37,884.40x = 56,824.55 × 11,589.14
  4. Step 4: Simplify right side
    37,884.40x = 658,547,749.50
  5. Step 5: Solve for x
    x = 658,547,749.50/37,884.40
  6. Step 6: Final answer
    x = 17,383.09

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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.