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Finding the Fourth Proportional to 35,932.64, 49,598.56 and 23,186.22

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Solution

The fourth proportional to 35,932.64, 49,598.56 and 23,186.22 is: 32,004.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,932.64 : 49,598.56 = 23,186.22 : x
  2. Step 2: Convert to fraction form
    35,932.64/49,598.56 = 23,186.22/x
  3. Step 3: Cross multiply
    35,932.64x = 49,598.56 × 23,186.22
  4. Step 4: Simplify right side
    35,932.64x = 1,150,003,123.84
  5. Step 5: Solve for x
    x = 1,150,003,123.84/35,932.64
  6. Step 6: Final answer
    x = 32,004.42

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