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Finding the Fourth Proportional to 103,980.96, 155,954.88 and 29,093.04

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Solution

The fourth proportional to 103,980.96, 155,954.88 and 29,093.04 is: 43,634.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,980.96 : 155,954.88 = 29,093.04 : x
  2. Step 2: Convert to fraction form
    103,980.96/155,954.88 = 29,093.04/x
  3. Step 3: Cross multiply
    103,980.96x = 155,954.88 × 29,093.04
  4. Step 4: Simplify right side
    103,980.96x = 4,537,201,562.04
  5. Step 5: Solve for x
    x = 4,537,201,562.04/103,980.96
  6. Step 6: Final answer
    x = 43,634.93

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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.