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Finding the Fourth Proportional to 31,040.76, 46,522.26 and 15,462.84

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Solution

The fourth proportional to 31,040.76, 46,522.26 and 15,462.84 is: 23,174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,040.76 : 46,522.26 = 15,462.84 : x
  2. Step 2: Convert to fraction form
    31,040.76/46,522.26 = 15,462.84/x
  3. Step 3: Cross multiply
    31,040.76x = 46,522.26 × 15,462.84
  4. Step 4: Simplify right side
    31,040.76x = 719,366,262.82
  5. Step 5: Solve for x
    x = 719,366,262.82/31,040.76
  6. Step 6: Final answer
    x = 23,174.89

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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.