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Finding the Fourth Proportional to 35,697.30, 49,200.78 and 23,739.27

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Solution

The fourth proportional to 35,697.30, 49,200.78 and 23,739.27 is: 32,719.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,697.30 : 49,200.78 = 23,739.27 : x
  2. Step 2: Convert to fraction form
    35,697.30/49,200.78 = 23,739.27/x
  3. Step 3: Cross multiply
    35,697.30x = 49,200.78 × 23,739.27
  4. Step 4: Simplify right side
    35,697.30x = 1,167,990,600.63
  5. Step 5: Solve for x
    x = 1,167,990,600.63/35,697.30
  6. Step 6: Final answer
    x = 32,719.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.