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Finding the Fourth Proportional to 73,271.10, 109,734.41 and 35,713.47

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Solution

The fourth proportional to 73,271.10, 109,734.41 and 35,713.47 is: 53,486.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,271.10 : 109,734.41 = 35,713.47 : x
  2. Step 2: Convert to fraction form
    73,271.10/109,734.41 = 35,713.47/x
  3. Step 3: Cross multiply
    73,271.10x = 109,734.41 × 35,713.47
  4. Step 4: Simplify right side
    73,271.10x = 3,918,996,559.50
  5. Step 5: Solve for x
    x = 3,918,996,559.50/73,271.10
  6. Step 6: Final answer
    x = 53,486.25

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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.