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Finding the Fourth Proportional to 106,465.82, 159,698.70 and 27,580.04

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Solution

The fourth proportional to 106,465.82, 159,698.70 and 27,580.04 is: 41,370.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,465.82 : 159,698.70 = 27,580.04 : x
  2. Step 2: Convert to fraction form
    106,465.82/159,698.70 = 27,580.04/x
  3. Step 3: Cross multiply
    106,465.82x = 159,698.70 × 27,580.04
  4. Step 4: Simplify right side
    106,465.82x = 4,404,495,735.45
  5. Step 5: Solve for x
    x = 4,404,495,735.45/106,465.82
  6. Step 6: Final answer
    x = 41,370.05

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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.