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Finding the Fourth Proportional to 31,225.32, 46,842.30 and 12,753

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Solution

The fourth proportional to 31,225.32, 46,842.30 and 12,753 is: 19,131.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,225.32 : 46,842.30 = 12,753 : x
  2. Step 2: Convert to fraction form
    31,225.32/46,842.30 = 12,753/x
  3. Step 3: Cross multiply
    31,225.32x = 46,842.30 × 12,753
  4. Step 4: Simplify right side
    31,225.32x = 597,379,851.90
  5. Step 5: Solve for x
    x = 597,379,851.90/31,225.32
  6. Step 6: Final answer
    x = 19,131.26

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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.