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Finding the Fourth Proportional to 31,642.02, 43,662.17 and 17,492.94

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Solution

The fourth proportional to 31,642.02, 43,662.17 and 17,492.94 is: 24,138.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,642.02 : 43,662.17 = 17,492.94 : x
  2. Step 2: Convert to fraction form
    31,642.02/43,662.17 = 17,492.94/x
  3. Step 3: Cross multiply
    31,642.02x = 43,662.17 × 17,492.94
  4. Step 4: Simplify right side
    31,642.02x = 763,779,720.08
  5. Step 5: Solve for x
    x = 763,779,720.08/31,642.02
  6. Step 6: Final answer
    x = 24,138.15

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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.