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Finding the Fourth Proportional to 31,242.53, 46,863.84 and 10,466.03

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Solution

The fourth proportional to 31,242.53, 46,863.84 and 10,466.03 is: 15,699.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,242.53 : 46,863.84 = 10,466.03 : x
  2. Step 2: Convert to fraction form
    31,242.53/46,863.84 = 10,466.03/x
  3. Step 3: Cross multiply
    31,242.53x = 46,863.84 × 10,466.03
  4. Step 4: Simplify right side
    31,242.53x = 490,478,121.04
  5. Step 5: Solve for x
    x = 490,478,121.04/31,242.53
  6. Step 6: Final answer
    x = 15,699.06

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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.