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Finding the Fourth Proportional to 106,006.40, 159,009.60 and 27,126.80

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Solution

The fourth proportional to 106,006.40, 159,009.60 and 27,126.80 is: 40,690.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,006.40 : 159,009.60 = 27,126.80 : x
  2. Step 2: Convert to fraction form
    106,006.40/159,009.60 = 27,126.80/x
  3. Step 3: Cross multiply
    106,006.40x = 159,009.60 × 27,126.80
  4. Step 4: Simplify right side
    106,006.40x = 4,313,421,617.28
  5. Step 5: Solve for x
    x = 4,313,421,617.28/106,006.40
  6. Step 6: Final answer
    x = 40,690.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.