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Finding the Fourth Proportional to 72,968.92, 109,453.41 and 17,564.92

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Solution

The fourth proportional to 72,968.92, 109,453.41 and 17,564.92 is: 26,347.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,968.92 : 109,453.41 = 17,564.92 : x
  2. Step 2: Convert to fraction form
    72,968.92/109,453.41 = 17,564.92/x
  3. Step 3: Cross multiply
    72,968.92x = 109,453.41 × 17,564.92
  4. Step 4: Simplify right side
    72,968.92x = 1,922,540,390.38
  5. Step 5: Solve for x
    x = 1,922,540,390.38/72,968.92
  6. Step 6: Final answer
    x = 26,347.39

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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.