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Finding the Fourth Proportional to 41,185, 61,778.04 and 13,483

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Solution

The fourth proportional to 41,185, 61,778.04 and 13,483 is: 20,224.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,185 : 61,778.04 = 13,483 : x
  2. Step 2: Convert to fraction form
    41,185/61,778.04 = 13,483/x
  3. Step 3: Cross multiply
    41,185x = 61,778.04 × 13,483
  4. Step 4: Simplify right side
    41,185x = 832,953,313.32
  5. Step 5: Solve for x
    x = 832,953,313.32/41,185
  6. Step 6: Final answer
    x = 20,224.68

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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.