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Finding the Fourth Proportional to 31,792.49, 47,670 and 12,072.43

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Solution

The fourth proportional to 31,792.49, 47,670 and 12,072.43 is: 18,101.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,792.49 : 47,670 = 12,072.43 : x
  2. Step 2: Convert to fraction form
    31,792.49/47,670 = 12,072.43/x
  3. Step 3: Cross multiply
    31,792.49x = 47,670 × 12,072.43
  4. Step 4: Simplify right side
    31,792.49x = 575,492,738.10
  5. Step 5: Solve for x
    x = 575,492,738.10/31,792.49
  6. Step 6: Final answer
    x = 18,101.53

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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.