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Finding the Fourth Proportional to 31,182.46, 46,744.53 and 11,455.72

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Solution

The fourth proportional to 31,182.46, 46,744.53 and 11,455.72 is: 17,172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,182.46 : 46,744.53 = 11,455.72 : x
  2. Step 2: Convert to fraction form
    31,182.46/46,744.53 = 11,455.72/x
  3. Step 3: Cross multiply
    31,182.46x = 46,744.53 × 11,455.72
  4. Step 4: Simplify right side
    31,182.46x = 535,492,247.21
  5. Step 5: Solve for x
    x = 535,492,247.21/31,182.46
  6. Step 6: Final answer
    x = 17,172.87

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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.