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Finding the Fourth Proportional to 31,492.16, 43,457.92 and 17,344

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Solution

The fourth proportional to 31,492.16, 43,457.92 and 17,344 is: 23,934.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,492.16 : 43,457.92 = 17,344 : x
  2. Step 2: Convert to fraction form
    31,492.16/43,457.92 = 17,344/x
  3. Step 3: Cross multiply
    31,492.16x = 43,457.92 × 17,344
  4. Step 4: Simplify right side
    31,492.16x = 753,734,164.48
  5. Step 5: Solve for x
    x = 753,734,164.48/31,492.16
  6. Step 6: Final answer
    x = 23,934.03

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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.