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Finding the Fourth Proportional to 31,985.72, 44,141.10 and 17,838.44

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Solution

The fourth proportional to 31,985.72, 44,141.10 and 17,838.44 is: 24,617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,985.72 : 44,141.10 = 17,838.44 : x
  2. Step 2: Convert to fraction form
    31,985.72/44,141.10 = 17,838.44/x
  3. Step 3: Cross multiply
    31,985.72x = 44,141.10 × 17,838.44
  4. Step 4: Simplify right side
    31,985.72x = 787,408,363.88
  5. Step 5: Solve for x
    x = 787,408,363.88/31,985.72
  6. Step 6: Final answer
    x = 24,617.50

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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.