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Finding the Fourth Proportional to 73,132.63, 109,703.20 and 20,546.22

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Solution

The fourth proportional to 73,132.63, 109,703.20 and 20,546.22 is: 30,820.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,132.63 : 109,703.20 = 20,546.22 : x
  2. Step 2: Convert to fraction form
    73,132.63/109,703.20 = 20,546.22/x
  3. Step 3: Cross multiply
    73,132.63x = 109,703.20 × 20,546.22
  4. Step 4: Simplify right side
    73,132.63x = 2,253,985,482.02
  5. Step 5: Solve for x
    x = 2,253,985,482.02/73,132.63
  6. Step 6: Final answer
    x = 30,820.52

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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.