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Finding the Fourth Proportional to 55,262.94, 82,894.41 and 13,709.94

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Solution

The fourth proportional to 55,262.94, 82,894.41 and 13,709.94 is: 20,564.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,262.94 : 82,894.41 = 13,709.94 : x
  2. Step 2: Convert to fraction form
    55,262.94/82,894.41 = 13,709.94/x
  3. Step 3: Cross multiply
    55,262.94x = 82,894.41 × 13,709.94
  4. Step 4: Simplify right side
    55,262.94x = 1,136,477,387.44
  5. Step 5: Solve for x
    x = 1,136,477,387.44/55,262.94
  6. Step 6: Final answer
    x = 20,564.91

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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.