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Finding the Fourth Proportional to 73,075.08, 109,546.74 and 26,295

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Solution

The fourth proportional to 73,075.08, 109,546.74 and 26,295 is: 39,418.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,075.08 : 109,546.74 = 26,295 : x
  2. Step 2: Convert to fraction form
    73,075.08/109,546.74 = 26,295/x
  3. Step 3: Cross multiply
    73,075.08x = 109,546.74 × 26,295
  4. Step 4: Simplify right side
    73,075.08x = 2,880,531,528.30
  5. Step 5: Solve for x
    x = 2,880,531,528.30/73,075.08
  6. Step 6: Final answer
    x = 39,418.79

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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.