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Finding the Fourth Proportional to 31,082.12, 46,622.54 and 7,708.28

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Solution

The fourth proportional to 31,082.12, 46,622.54 and 7,708.28 is: 11,562.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,082.12 : 46,622.54 = 7,708.28 : x
  2. Step 2: Convert to fraction form
    31,082.12/46,622.54 = 7,708.28/x
  3. Step 3: Cross multiply
    31,082.12x = 46,622.54 × 7,708.28
  4. Step 4: Simplify right side
    31,082.12x = 359,379,592.63
  5. Step 5: Solve for x
    x = 359,379,592.63/31,082.12
  6. Step 6: Final answer
    x = 11,562.26

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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.