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Finding the Fourth Proportional to 72,697.52, 109,023.24 and 23,438

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Solution

The fourth proportional to 72,697.52, 109,023.24 and 23,438 is: 35,149.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,697.52 : 109,023.24 = 23,438 : x
  2. Step 2: Convert to fraction form
    72,697.52/109,023.24 = 23,438/x
  3. Step 3: Cross multiply
    72,697.52x = 109,023.24 × 23,438
  4. Step 4: Simplify right side
    72,697.52x = 2,555,286,699.12
  5. Step 5: Solve for x
    x = 2,555,286,699.12/72,697.52
  6. Step 6: Final answer
    x = 35,149.57

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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.