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Finding the Fourth Proportional to 68,409.12, 102,603.78 and 18,492.12

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Solution

The fourth proportional to 68,409.12, 102,603.78 and 18,492.12 is: 27,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,409.12 : 102,603.78 = 18,492.12 : x
  2. Step 2: Convert to fraction form
    68,409.12/102,603.78 = 18,492.12/x
  3. Step 3: Cross multiply
    68,409.12x = 102,603.78 × 18,492.12
  4. Step 4: Simplify right side
    68,409.12x = 1,897,361,412.21
  5. Step 5: Solve for x
    x = 1,897,361,412.21/68,409.12
  6. Step 6: Final answer
    x = 27,735.50

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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.