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Finding the Fourth Proportional to 52,274.42, 72,149.23 and 31,049.58

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Solution

The fourth proportional to 52,274.42, 72,149.23 and 31,049.58 is: 42,854.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,274.42 : 72,149.23 = 31,049.58 : x
  2. Step 2: Convert to fraction form
    52,274.42/72,149.23 = 31,049.58/x
  3. Step 3: Cross multiply
    52,274.42x = 72,149.23 × 31,049.58
  4. Step 4: Simplify right side
    52,274.42x = 2,240,203,288.82
  5. Step 5: Solve for x
    x = 2,240,203,288.82/52,274.42
  6. Step 6: Final answer
    x = 42,854.68

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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.