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Finding the Fourth Proportional to 73,101.42, 109,652.13 and 17,697.42

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Solution

The fourth proportional to 73,101.42, 109,652.13 and 17,697.42 is: 26,546.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,101.42 : 109,652.13 = 17,697.42 : x
  2. Step 2: Convert to fraction form
    73,101.42/109,652.13 = 17,697.42/x
  3. Step 3: Cross multiply
    73,101.42x = 109,652.13 × 17,697.42
  4. Step 4: Simplify right side
    73,101.42x = 1,940,559,798.50
  5. Step 5: Solve for x
    x = 1,940,559,798.50/73,101.42
  6. Step 6: Final answer
    x = 26,546.13

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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.