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Finding the Fourth Proportional to 31,160, 43,000.72 and 17,012.84

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Solution

The fourth proportional to 31,160, 43,000.72 and 17,012.84 is: 23,477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,160 : 43,000.72 = 17,012.84 : x
  2. Step 2: Convert to fraction form
    31,160/43,000.72 = 17,012.84/x
  3. Step 3: Cross multiply
    31,160x = 43,000.72 × 17,012.84
  4. Step 4: Simplify right side
    31,160x = 731,564,369.24
  5. Step 5: Solve for x
    x = 731,564,369.24/31,160
  6. Step 6: Final answer
    x = 23,477.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.