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Finding the Fourth Proportional to 31,002.44, 46,506.72 and 9,937.18

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Solution

The fourth proportional to 31,002.44, 46,506.72 and 9,937.18 is: 14,906.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,002.44 : 46,506.72 = 9,937.18 : x
  2. Step 2: Convert to fraction form
    31,002.44/46,506.72 = 9,937.18/x
  3. Step 3: Cross multiply
    31,002.44x = 46,506.72 × 9,937.18
  4. Step 4: Simplify right side
    31,002.44x = 462,145,647.85
  5. Step 5: Solve for x
    x = 462,145,647.85/31,002.44
  6. Step 6: Final answer
    x = 14,906.75

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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.