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Finding the Fourth Proportional to 36,435.92, 54,661.56 and 11,810

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Solution

The fourth proportional to 36,435.92, 54,661.56 and 11,810 is: 17,717.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,435.92 : 54,661.56 = 11,810 : x
  2. Step 2: Convert to fraction form
    36,435.92/54,661.56 = 11,810/x
  3. Step 3: Cross multiply
    36,435.92x = 54,661.56 × 11,810
  4. Step 4: Simplify right side
    36,435.92x = 645,553,023.60
  5. Step 5: Solve for x
    x = 645,553,023.60/36,435.92
  6. Step 6: Final answer
    x = 17,717.49

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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.