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Finding the Fourth Proportional to 35,597.44, 49,122.92 and 19,464.24

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Solution

The fourth proportional to 35,597.44, 49,122.92 and 19,464.24 is: 26,859.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,597.44 : 49,122.92 = 19,464.24 : x
  2. Step 2: Convert to fraction form
    35,597.44/49,122.92 = 19,464.24/x
  3. Step 3: Cross multiply
    35,597.44x = 49,122.92 × 19,464.24
  4. Step 4: Simplify right side
    35,597.44x = 956,140,304.38
  5. Step 5: Solve for x
    x = 956,140,304.38/35,597.44
  6. Step 6: Final answer
    x = 26,859.81

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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.