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Finding the Fourth Proportional to 31,012.17, 46,518.26 and 7,638.60

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Solution

The fourth proportional to 31,012.17, 46,518.26 and 7,638.60 is: 11,457.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,012.17 : 46,518.26 = 7,638.60 : x
  2. Step 2: Convert to fraction form
    31,012.17/46,518.26 = 7,638.60/x
  3. Step 3: Cross multiply
    31,012.17x = 46,518.26 × 7,638.60
  4. Step 4: Simplify right side
    31,012.17x = 355,334,380.84
  5. Step 5: Solve for x
    x = 355,334,380.84/31,012.17
  6. Step 6: Final answer
    x = 11,457.90

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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.