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Finding the Fourth Proportional to 72,697.44, 108,967.80 and 35,178.24

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Solution

The fourth proportional to 72,697.44, 108,967.80 and 35,178.24 is: 52,729.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,697.44 : 108,967.80 = 35,178.24 : x
  2. Step 2: Convert to fraction form
    72,697.44/108,967.80 = 35,178.24/x
  3. Step 3: Cross multiply
    72,697.44x = 108,967.80 × 35,178.24
  4. Step 4: Simplify right side
    72,697.44x = 3,833,295,420.67
  5. Step 5: Solve for x
    x = 3,833,295,420.67/72,697.44
  6. Step 6: Final answer
    x = 52,729.44

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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.