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Finding the Fourth Proportional to 31,144.53, 46,689.02 and 11,418.49

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Solution

The fourth proportional to 31,144.53, 46,689.02 and 11,418.49 is: 17,117.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,144.53 : 46,689.02 = 11,418.49 : x
  2. Step 2: Convert to fraction form
    31,144.53/46,689.02 = 11,418.49/x
  3. Step 3: Cross multiply
    31,144.53x = 46,689.02 × 11,418.49
  4. Step 4: Simplify right side
    31,144.53x = 533,118,050.89
  5. Step 5: Solve for x
    x = 533,118,050.89/31,144.53
  6. Step 6: Final answer
    x = 17,117.55

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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.