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Finding the Fourth Proportional to 50,540.04, 75,726 and 30,758.76

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Solution

The fourth proportional to 50,540.04, 75,726 and 30,758.76 is: 46,086.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,540.04 : 75,726 = 30,758.76 : x
  2. Step 2: Convert to fraction form
    50,540.04/75,726 = 30,758.76/x
  3. Step 3: Cross multiply
    50,540.04x = 75,726 × 30,758.76
  4. Step 4: Simplify right side
    50,540.04x = 2,329,237,859.76
  5. Step 5: Solve for x
    x = 2,329,237,859.76/50,540.04
  6. Step 6: Final answer
    x = 46,086.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.