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Finding the Fourth Proportional to 106,271.49, 159,416.55 and 27,385.59

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Solution

The fourth proportional to 106,271.49, 159,416.55 and 27,385.59 is: 41,080.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,271.49 : 159,416.55 = 27,385.59 : x
  2. Step 2: Convert to fraction form
    106,271.49/159,416.55 = 27,385.59/x
  3. Step 3: Cross multiply
    106,271.49x = 159,416.55 × 27,385.59
  4. Step 4: Simplify right side
    106,271.49x = 4,365,716,277.51
  5. Step 5: Solve for x
    x = 4,365,716,277.51/106,271.49
  6. Step 6: Final answer
    x = 41,080.79

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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.